Are these functions inverses of each other?Be sure to explain how you know they are inverse or why they are not. Show all work necessary.

Are These Functions Inverses Of Each Other?Be Sure To Explain How You Know They Are Inverse Or Why They

Answers

Answer 1

Answer:

Yes. f(x) and g(x) are inverses of one another

Step-by-step explanation:

[tex]f(x) = - \frac{1}{2} x - 2 \\ y = - \frac{1}{2} x - 2 \\ x = - \frac{1}{2} y - 2 \\ x + 2 = - \frac{1}{2} y \\ - 2(x + 2) = - \frac{1}{2} y \times - 2 \\ - 2x - 4 = y \\ {f }^{ - 1} (x) = - 2x - 4[/tex]

In step 1 we just copied the original function.

In step 2 we substituted y for f(x).

in step 3 we switched the variables.

in step 4 we added 2 to both sides.

in step 5 we multiply both sides by -2

In step 6 we solved for y.

In step 7 is just a fancy way of saying the inverse function f(x) = -2x - 4


Related Questions

What is 3.28 rounded to the nearest thousandth

Answers

3.28 rounded to the nearest thousandth is 3.280

4p - 3=17
Please help

Answers

Answer:

hey there,

4p=17+3p=20/4So now p=5

Step-by-step explanation:

#BEBRAINLY

Answer:

5

Step-by-step explanation:

17+3=20

4×5=20

20-17=3

I will mark brainlist please help!!


1) in a dilation of a figure, the distance between two consecutive vertices does not change

• true

• false


2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25


• J (2,1) K (2,2) L (1,2)

• J (-2,1) K (4,2) L (1,0.5)

• J (1,2) K (2,2) L (1,0.5)

Answers

true and the first one

Hellooooooo I need help with this !!!!!

Answers

Answer:

c. 270m^3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

6×5×9

30×9

270

Given
mZLON = 77°
mZLOM = 9x + 44°
mZMON = 6x + 3°
Find mZMON:

Answers

Answer:

FVRF

Step-by-step explanation:

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer: The actual gym is 120 feet long.

Explanation:
24 * 5 = 120

The sale price of an item is $330 after a 25% discount. What was the original price of the item?

Answers

Answer:

$440

Step-by-step explanation:

100%-25%=75%

75%=330

1%=330÷75=4.4

100%=100x4.4=440

Hope this helps! Thanks.

Which expression does not have a solution of 9, if w = 4? 5 + w w + 5 13 - w 5 - w

Answers

Answer:

5 - w does not have a solution of nine.

Step-by-step explanation:

5 - 4 = 1

write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please

Answers

Answer:

[tex]y = \frac{1}{5} x - 9[/tex]

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope [tex]= \frac{rise}{run}[/tex].  So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, b). So, it becomes (0, -9).

Now that we have our slope (m ) = 1/5, and the y-intercept (b ) = -9, we can write the equation of the line as:

[tex]y = \frac{1}{5} x - 9[/tex]

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).  

Please mark my answers as the Brainliest if you find my explanations helpful :)

Find the length of the curve.

Y= x^5/6 + 1/10x^3

X is greater than or equal to 1 but less than or equal to 4

Answers

Answer:

wag na natin balikan si ex kalimutan na natin yun

what would the coordinates (10,-3) lie on?

Answers

(10,-3) is on the IV plan :)

what is the product of -6 and -54

Answers

Answer:

324

Step-by-step explanation:

- 6 × - 54 = 324

Note : -

When a negative number multiplied with another negative number, its result is a positive number.

Hello your answer is gonna be 324












M

In the fourth grade at Jefferson elementary School, there are 125 students. In the fifth grade, there are 136 students. How many total students are there in fourth and fifth grade?

Answers

answer is 261

Step-by-step explanation:

add both numbers together

eight hundred and thirteen ten-thousandths in decimal form

Answers

Answer:

800.10

Step-by-step explanation:

every part after than and is behind a decimal point.


Algebra 1
> H.2 Distributive property BHL
Factor 2w + 8.
Write your answer as a product with a whole number greater than 1.

Answers

Answer:

2(w+4)

Step-by-step explanation:

2w+8

=2(w+4) -> factoring by grouping

I need help I don’t understand

Answers

Answer: not much help i can barley see the paper

Step-by-step explanation:

(-5) + 6= ____
please help!​

Answers

Answer:

1

Step-by-step explanation:

-5 +6=1 jsjenejsnsjwjjwwj

(-5) + 6 = "1'

Let me know if its wrong.

Write the equation in standard form.
y+ 7= -3/2 (x+1)

Answers

Answer:

2y + 3x = -17

Step-by-step explanation:

standard form is Ax + By = C

first step is to distribute -3/2 among 'x' and then by 1 to get:

-3/2x - 3/2

you now have y + 7 = -3/2x - 3/2

we want to get the -3/2x term on the same side as 'y' and get 7 from the right side to the left side

we want to add 3/2x to the left side of the equation because it is being subtracted:

y + 3.2x + 7 = -3/2

now we want to subtract 7 to the right side because it is currently being added:

y + 3/2x = -7 3/2

we can convert -7 3/2 to be -17/2

we now can eliminate the denominator of 2 in the 'x' term by multiplying each term by 2 to get:

2(y + 3/2x) = -17/2(2)

distribute and simplify to get:

2y + 3x = -17

pls help me I'll give brainlest and points​

Answers

Answer:

See below.

Step-by-step explanation:

a.

O is the origin, so its abscissa is 0. O: 0

The only point 4 units from O is A, so A: 4

Point C has a positive abscissa like A.

Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.

B: -3

C: 3

D: -4.5

E: -6

M = (4 + (-6))/2 = -1. M: -1

b.

OB = |0 - (-3)| = |3| = 3

DA = |-4.5 - 4| = |-8.5| = 8.5

what is the square root of ten

Answers

Answer:

3.16227766017 is the answer

Answer: 3.16227766017

Step-by-step explanation:

Or you could round and get 3.2 or 3.16

Question
Find an equation for the line passing through (2, -1) with a slope of 5/2

Answers

Answer:

y=52x+b.

Step-by-step explanation:

since point (2,1) satisfies the equation.

The Leibnitz notation for the chain rule is
(1 point) Suppose y = sin(x2 - 4x). We can write y = sin(u), where u =
dy dy du
dy
du
The factors are
(written as a function of u ) and
dx du dx
du
dx
x for u to get
Now substitue in the function of
=
dy
dx
(written as a function of x ).

Answers

For this derivative, you could set

[tex]\boxed{u = x^2 - 4x}[/tex]

Then

[tex]y = \sin(x^2-4x) = \sin(u)[/tex]

so that

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm du} = \cos(u)}[/tex]

and

[tex]\boxed{\dfrac{\mathrm du}{\mathrm dx} = 2x - 4}[/tex]

Then the chain rule gives

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \cos(u)(2x-4) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = (2x-4)\cos(x^2-4x)}[/tex]

A regular octagon divides
into how many triangles
(drawn from a point in the
center of the octagon)?

Answers

Answer:

8

Step-by-step explanation:

a triangle for each side

Find the area and perimeter.
5.6 cm

please help!!!!

Answers

Answer:

31.36cm; 22.4cm

Step-by-step explanation:

hope this helps

Answer:

31.36 cm^2,     22.4 cm

Step-by-step explanation:

Area of the square is a^2 = (5.6)^2

= 31.36 cm^2

Perimeter of a Square = 4s

= 4(5.6)

=22.4 cm

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Answers

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex] a_1 {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 18 \times 3 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Karen has two dogs. The larger dog weighs 1.4 pounds more than the
smaller dog. The combined weight of the two dogs is 12.6 pounds. What is
the weight, in pounds, of the smaller dog? Only type in a numeric
response.

Answers

The answer is 11.2 pounds.

Answer:

11.2

Step-by-step explanation:

Please help this is important!

Solve for a Variable (this is in a 8th grade algebra text book)

5y=5x-10;y

Please help and give evidence to the answer

Answers

Answer:

[tex]{ \tt{ \hookrightarrow \: 5y = 5x - 10}}[/tex]

• divide the whole equation by 5

[tex]{ \tt{ \frac{5y}{5} = \frac{5x}{5} - \frac{10}{5} }} \\ \\ { \boxed{ \rm{y = x - 2}}}[/tex]

Answer:

so here the value.

y =5 and. 10 = x

so the value of x is 10

and value of 5 is y

Using the formula below, find F, when f = 1000 and r = 8

Give your answer as a decimal number.

Answers

Answer: 15.625

Step-by-step explanation:

F = 1000/(8^2) = 1000/64 = 15.625

Answer:

F = 15.625

Step-by-step explanation:

This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.

To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.

Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.

At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.

I have attached a photograph of this calculation written down.

8. To calculate 159 - 73, a student writes the follow-
ing equations:
160 - 70 = 90 - 3 = 87 - 1 = 86
Although the student has a good idea for solving the problem, their equations are not correct. In words, describe the student's solution strategy and discuss why the strategy makes sense; then write a correct sequence of equations that correspond to
this solution strategy.
Write your equations in the following form:
159 - 73 = some expression
= some expression
=….
= 86

Answers

The question is an illustration of solving equations using estimates.

The student's strategy makes sense because he uses estimation to solve the given equation

The correct sequence of equation is as follows:

[tex]\mathbf{159 - 73}[/tex][tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex][tex]\mathbf{159 - 73 =90- 4}[/tex][tex]\mathbf{159 - 73 =86}[/tex]

We have:

[tex]\mathbf{159 - 73}[/tex]

Add 0 to the equation

[tex]\mathbf{159 - 73 =159 + 0- 73}[/tex]

Express 0 as 1 - 1

[tex]\mathbf{159 - 73 =159 + 1 - 1- 73}[/tex]

[tex]\mathbf{159 - 73 =160 - 1- 73}[/tex]

Add another 0

[tex]\mathbf{159 - 73 =160 - 1- 73 + 0}[/tex]

Express 0 as 3 - 3

[tex]\mathbf{159 - 73 =160 - 1- 73 + 3 - 3}[/tex]

[tex]\mathbf{159 - 73 =160 - 1- 70 - 3}[/tex]

Rewrite as:

[tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex]

Solve

[tex]\mathbf{159 - 73 =90- 4}[/tex]

[tex]\mathbf{159 - 73 =86}[/tex]

Read more about estimation and equations at:

https://brainly.com/question/18454732

104 18/ 25 divided by 29 7/10

Answers

Answer:

Exact form = 476/135

Decimal form = 3.5259

Mixed Number form = 3 71/135

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Hope this helps. Please mark as brainlist

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