How would the domain and range of the function

Y = (1/4)x - 6

be determined? Explain. ​

Answers

Answer 1

Answer:

Domain and range both [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.

The inverse of the function can be found as such:

[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].

Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.

So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]


Related Questions

What is 4+3x6x(4+3³)² please show work tysm

Answers

Answer: 17302

Explanation: This problem requires PEMDAS.

Step 1: Parentheses

(4+3^3) = (4+27) = 31

Step 2: Exponents

31^2 = 961

Step 3: Multiplication

3x6= 18
18x961=17298

Step 4: Addition

17298 + 4 = 17302

Answer:  17298^2+4

Step-by-step explanation:

classify -0.25 as rational or irrational. explain.

Answers

I think it is ripple effect

Answer:

Rational

Step-by-step explanation:

Rational numbers include fractions and decimals that end or have a pattern. Irrational numbers, however, do not end and have an arbitrary pattern. -0.25 is rational because it is a terminating decimal which means it ends.

Examples of irrational numbers include:

√2 , -√101 , π (pi)

Examples of rational numbers include:

-0.89 , √16 , 1/3

i hope this helps :)

Find the hypotenuse of a right triangle given the legs 10 cm and 24 cm.

A. 26 cm

B. 21.8 cm

C. 6.4 cm

D. 18 cm

Answers

Step-by-step explanation:

you take the square of ten and add to the square of twenty four then find the square root of the answer

Answer:

26 cm

Step-by-step explanation:

to be honest took the test 3 times and never got this one right it could very well be 21.8 so if it does happen to be 21.8 please someone correct me

This is a fun money give away answer what is 300 x j =900



hint:it is between 4 and 1 so let me see what y'all got
I will take it down in the next 5 minutes.

Answers

It’s 3, 3 x 3 = 9. 30 x 3 = 90. 300 x 3 = 900

pls help me, thankyuu❤️​

Answers

Answer:

1. 3, 12, 48, 192, 768               Ratio: x4

2. 8, 16, 32, 64, 128                Ratio: x2

3. 120, 60, 30, 15, 7.5             Ratio: ÷2

4. 5, 10, 20, 40, 80, 160          Ratio: x2

5.  1.3?, 4, 12, 36, 108, 324      Ratio: x3

Hope this helps!

I'm not sure about the first one on question 5 though.

PLZZZ HELP ASAP ON THIS I NEED IT NOW

Answers

Answer:

1.) x={ -4,-2,0,2,4}

y={ -4,-2,0,2,4}

2.)x={ -4,-2,0,2,4}

y={{-5,-1,3,7,11}

Step-by-step explanation:

in coordinates:

1.)(-4,-4) (-2,-2) (0,0) (2,2) (4,4)

2.)(-4,-5) (-2,-1) (0,3) (2,7) (4,11)

Quadrilateral MARK will be reflected across the z-axis and then rotated 90° clockwise about the origin to create quadrilateral M"A"R"K". If M is located at - (-3,7)
What will be the y-coordinate of M”?

Answers

The answer is 3

Step-by-step explanation:

I have the answer key pdf and, that is what the answer said, so I am pretty sure this is right.

Translate this sentence into an equation. 39 is the product of Hector's height and 3. Use the variable h to represent Hector's height.

Answers

so basically, 39=H+3 because 39 is the product = H (hectors height) and (+) 3

what is (-1/8c+16)-(3/8+3c) simplified

Answers

Answer:

Step-by-step explanation:

you can go to (math) it usually helps me a lot with stuff and maths x hope u find ur answer(way).

check the things in brackets that how the site its called.

If <5 and <6 are complementary angles, and m<6=6", find m<5.

Answers

Answer:

∠ 5 = 84°

Step-by-step explanation:

Complementary angles sum to 90° , then

∠ 5 + ∠ 6 = 90° , that is

∠ 5 + 6° = 90° ( subtract 6° from both sides )

∠ 5 = 84°

Cornelius Shultz’s annual salary is $29,800. He is paid monthly. His personal exemptions total $4,000. How much does his employer deduct from each of Shultz’s paychecks for state income tax of 4 percent?

Answers

Answer:

86

Step-by-step explanation:

What is -2d-2 < 3d+8

Answers

Answer:

d > -2

Step-by-step explanation:

-2d-2 < 3d+8

3d+8 > -2d-2

3d + 2d > -2 -8

5d > -10

d > -2

Feel free to mark this as brainliest! :D


Today is Ivanna's birthday. She is 6 years old. How old is Ivanna in months?

Answers

Answer:

She is 72 months old.

Step-by-step explanation:

Answer: 72 months

Step-by-step explanation: 12 x 6 = 12

Gina let three children pick a toy at target.Annie wanted a doll for 12$ Mandys game cost16$ an Noah’s action figure was 8$ Gina the cashier 45$ how much change did she get back

Answers

Answer:

9 dollars

Step-by-step explanation:

12+16+8 is 36, 45-36 is 9 :)

2 × 4^5 + 10 ( 5 × 2 ) - 10 ÷ 2 = ​

Answers

Answer:

2143

Step-by-step explanation:

2 × 4^5 + 10 (5 × 2) -10 ÷ 2

= 2 × 4^5 + 10 × 10 (-10) ÷ 2

= 2 × 4^5 + 10 × 10 - 10 ÷ 2

= 2 × 4^5 + 10 × 10 - 5

= 2048 + 100 - 5

= 2148 - 5

= 2143

Answer:

Your answer is 2143

Step-by-step explanation:

2 × 4^5 + 10 × 10 - 10 ÷ 2

*How i got the -5 is becuase 10/2 = 5

= 2 × 4^5 + 10 × 10 - 5

* How i go the 100 is becuase 10 *10 = 100

2048 + 100 - 5

How i go 2148 is becuase 2048+100 = 2148

2148 - 5

Answer = 2143

what is 6 ( 4 - x) + 2 =
3

Answers

Answer:

x= 23/6

x=3.83

x= 3 5/6

all of those are the answers and are equal

hope this helped

can I plz be brainiest

I need help understanding how to solve perfect square equations (pic as an example)

Answers

Answer & Step-by-step explanation:

The main note to remember here is that the square root of 64 can be positive 8 or negative 8, we don't know which was used, so we give TWO answers.

The measure of the third angle in an isosceles triangle is 55.5 more than the measure of either of the two equal angles. Find the measure of the third angle

Answers

Answer:

The third angle is 97º

Step-by-step explanation:

a triangle has 180º total

so 180-55.5=124.5

124.5÷3=41.5

then add the 55.5 back

41.5+55.5=97

97º

If f(x)=2x^2-4, find f(0) and f(-3)

Answers

Answer:

1st problem. x= √2, -√2 or Decimal form x= 1.41421356...

2nd problem.  x= √2/2 , -√2/2 or Decimal form X= 0.70710678...

HELP PLEASE!!!!.......

Answers

I’m pretty sure you start off the y at -3 then you go down once and go to the right 2 times. Sorry if it’s wrong

Answer:

Step-by-step explanation:

-1/2x-3

=-1/2x+-3

=-1/2x-3

Which graph below is proportional and how do you know?

Answers

Answer:

both

Step-by-step explanation:

each graph is seperate but equal

Write the expression as a single logarithm.

log₄ 2x - log₄ 6y

Answers

Answer:

[tex]log_{4}(\frac{2x}{6y})[/tex]

Step-by-step explanation:

According to the Quotient Rule (Logarithmic Property):

[tex]log_{a}x - log_{a}y = log_{a}(\frac{x}{y})[/tex]

Therefore, you could combine the logarithmic expressions as:

[tex]log_{4}2x - log_{4}6y = log_{4}(\frac{2x}{6y})[/tex]

Optional:

If ever you're required to simplify it further, [tex]log_{4}(\frac{2x}{6y})[/tex] will be:

[tex]log_{4}(\frac{2x}{6y}) = log_{4}(\frac{x}{3y})[/tex]

Ataxi service charges you $7.50 plus $0.60 per minute, m. for a trip to
the airport. The total charge is $13.50. Write an algebraic equation you
can use to determine the number of minutes it took to get to the airpor
take? (you do not need to solve)

Answers

Answer:

6

Step-by-step explanation:

13-7 =6

$6.00÷0.60¢ = 10

(I may be hella off, but it's worth a shot)

A parking lot has 27 spaces total. if 9 of the spaces have cars in them, what is the ratio empty spaces to filled spaces?​

Answers

Answer:

2 : 1

Step-by-step explanation:

27 total

9 filled

27 - 9 = 18 empty

18 : 9

2 : 1

Show steps please
let x and y be the functions of time t that are related by the equation 2x^2 + 3y^3 - 4 x y = 36. At the same time t =1, the value of x=2, the value of y = -2 and the value of dy/dt is 4. Find the value of dx/dt at time t=1

Answers

Answer:

I cant understand..

Step-by-step explanation:

What is an equation of the line with slope 3 that goes through point ( -1/2 , 5/2)

Oy = 4x + 3

Oy=-3x + 4

Oy=4x - 3

Oy = 3x + 4

Pls no links helppppp

Answers

Step-by-step explanation:

The only equation that has 3 as the coefficient of x (a slope of 3) is ...

... d.) y = 3x+4

Happily, it also goes through the given point.

... 5/2 = 3(-1/2) +4

... 5/2 = -3/2 + 8/2 i hope this works

The graph shows the amount of money you and a friend are saving for a camping trip.

You: 4 weeks 60 dollars. 8 weeks 120 dollars.
Friend: 2 weeks 40 dollars. 5 weeks 100 dollars

B) Find the slope of each line.

C) How much more money does your friend save each week than you?

D) The camping trip costs $165. How long well it take you to save enough money

Answers

slope for me is 15 dollars per week. slope for my friend is 20 dollars per week. my friend saves 5 dollars more per week. it takes me 11 weeks to save enough money for the gay camping trip

Help please!!

A student has an allowance of $20 each week. He wants to buy lunch at school for $3.50 every day, Monday - Friday. Does the student have enough money to buy lunch?

Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

Did the math on my calculator on my phone

Answer:

Yes

Step-by-step explanation:

The cost for each meal is 3.50 and there are five days so you would multiply 3.50 by 5 which equals 17.5. So it would cost the students 17.50 each week for the lunch, leaving them 2.50

Find the next 3 terms of the sequence below:

Answers

The next 3 terms are 17, 21, 25

when y is equal 3 and x is equal 7 what is y when x equal 63​

Answers

Answer:

7y x57xhfdghff

Step-by-step explanation:

hghhhhhf

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