Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?

Let F(x)=e^x And G(x)=x+6. What Is The Domain And Range Of (GoF) (x)?

Answers

Answer 1

Answer:

Domain: Al real values

Range: All real numbers

Step-by-step explanation:

Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?

Given the functions'

f(x)=e^x and g(x)=x+6.

gof(x) = g(f(x))

g(f(x)) = g(e^x)

Substitute x with e^x in g(x) as shown:

g(f(x)) = e^x + 6

The domain s the input value of x for which the function exists. Accordinf to the expression, x exists on all real values. Since x exists on all real values, hence the output f(x) also exists on all real values


Related Questions

HELPPPPP ASAPPPPP PLSSSS

Answers

Answer:c

Step-by-step explanation:

Answer:

subtract to eliminate x

Step-by-step explanation:

A 29-m tall building casts a shadow . The distance from the top of the building to the top of the shadow is 32m. Find the length of the shadow.

Answers

A 29 m 32 amThe length of the shadow would be 520m

Need help with question number 11

Answers

Answer:

..

Step-by-step explanation:

Answer:

Done! I already sent you the answer.

Step-by-step explanation:

please help me! Which triangles are similar to



A

B

C

△ABCtriangle, A, B, C?


43

°

43°

86

°

86°

A

A

B

B

C

C

Choose 1 answer:

Choose 1 answer:


(Choice A)

A


86

°

86°

43

°

43°

E

E

D

D

F

F




D

E

F

△DEFtriangle, D, E, F only


(Choice B)

B


86

°

86°

51

°

51°

G

G

H

H

I

I




G

H

I

△GHItriangle, G, H, I only


(Choice C)

C

Both


(Choice D)

D

Neither

Answers

Answer:

Triangle ABC and triangle EDF

The similar triangles are Δ ABC ~ Δ EDF ~ Δ GHI, both the triangles are similar to Δ ABC.

What are similar triangles?

Triangles are similar when their corresponding sides are equal ratios and their corresponding angles are congruent.

Given are triangles, Δ ABC, Δ EDF and Δ GHI,

Since, in Δ ABC and Δ EDF, two angles are shown congruent therefore, both are similar.

Also,

In Δ GHI,

∠ G + ∠ I = 129°

∠ H = 180° - 129°

∠ H = 43°

Since, we get, two angles congruent in both triangles Δ EDF and Δ GHI

Therefore, both the triangles Δ EDF and Δ GHI are similar,

Now,

Since, Δ ABC ~ Δ EDF and Δ EDF ~ Δ GHI,

Therefore, Δ ABC ~ Δ EDF ~ Δ GHI,

Hence, the correct option is "Both"

Learn more about similar triangles, click;

https://brainly.com/question/14926756

#SPJ2

please answer do not answer if u don't know the answer

Answers

Answer :x=3 y=7 (3,7)

Step-by-step explanation: I took algebra last year and I answered your question earlier.

What is the measure of angle F in degrees?

Answers

it has to be around 90°, if you want something exact use a protractor :) or use something with a sharp edge to see if it’s 90° hope this helps :)

just please help help help help

Answers

Answer:

C.{(-3,10),(-2,5),(1,2),(-2,-4)}

Solve for ddd. 6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 ​ =2d− 2 13 ​ 6, d, minus, start fraction, 11, divided by, 2, end fraction, equals, 2, d, minus, start fraction, 13, divided by, 2, end fraction d=d=

Answers

Answer:

[tex]d = -\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Required

Solve for d

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Collect Like Terms

[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

Take LCM

[tex]4d=\dfrac{-13+11}{2}[/tex]

[tex]4d=\dfrac{-2}{2}[/tex]

[tex]4d = -1[/tex]

Make d the subject

[tex]d = -\dfrac{1}{4}[/tex]

Please help WHAT IS THE PERCENT OF 39.8 out of 200 QUICK PLEASE

Answers

Answer:

19.9%

Step-by-step explanation:

39.8/200 = 0.199 (move decimal two times)

19.9%

or you can just see what number get 200 to 100, which is by dividing by 2. What you do to the bottom you do to the top so 39.8/200 (divide both sides by 2)  = 19.9/100

which is 19.9%.

Ace Carlos

The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?

A) Angle 1 and angle 4

B) Angle 5 and angle 4

C) Angle 6 and angle 4

D) Angle 8 and angle 4

Answers

Answer:

b.angle 5 and angle 4

Step-by-step explanation:

b.angle 5 and angle 4

Answer:

Step-by-step explanation:

please help! i will give brainliest.

Answers

Answer:

a) Math and Dance

b) 3 students (Chau, Juan, Ivan)

c) Tome, Jose, Josh, Rita

Step-by-step explanation:

That was so easy homework :-) write in comments if it helped

What is the image of (2, 1) after a dilation by a scale factor of 4 centered at the
origin?
HELP

Answers

Answer:

The image of the point is (8, 4)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (kx, ky)

Let us solve the question

∵ The point is (2, 1)

x = 2 and y = 1

∵ The point dilated by a scale factor of 4 centered at the origin

k = 4

→ By using the rule above multiply each coordinate of the point by 4

∵ The image of the point is (kx, ky)

∵ kx = 4 × 2

kx = 8

∵ ky = 4 × 1

ky = 4

The image of the point is (8, 4)

What’s the ANSEWR to this

Answers

Answer:

20.25

Step-by-step explanation:

i think its asking for the long side

the pythagorean theorem states that in a right triangle a^2+b^2=c^2

a is 19

b is 7

c is the long side

19^2= 361

6^2= 49

361+49=410

410 =c^2

square root of 410 = ~20.25

Answer:

[tex]hypotenuse = \sqrt{ {19}^{2} + {7}^{2}} \\ = \sqrt{361 + 49} = \sqrt{410} \\ = 20.25[/tex]

20.25 is the right answer.

Find the measure of the missing angle.

Answers

Answer:

23º = x

Step-by-step explanation:

One straight line is ALWAYS 180º

(called a linear pair)

So your equation is

157º + x = 180

subtract x on both sides

and you get

23º

That is a question about angles.

The first thing that we should to note is that a line do a straight angle. A straight angle is an 180° angle.

So, we can say that the sum of the angle a and the angle of 157° is equal to a straight angle. Let's make and solve a equation:

[tex]a + 157 = 180\\a = 180 - 57\\a = 23[/tex]

Therefore, the missing angle is 23°.

I hope I've helped. :D

Enjoy your studies. \o/

How would the frog hop to meet the following requirements?
• From 3, make one hop and land on 6.
• From 6, make one hop and land on the opposite of 6.
• From the opposite of 6, make one hop to land on the opposite of the opposite of 6.

Answers

Answer:

He would make one hop to land on 6.

Step-by-step explanation:

He starts on 6, and hops to the opposite of the opposite of 6, which is 6.

write the slope-intercept form of the equation if the slope is 1 and the y-intercept is is -4

Answers

Answer:

y=x-4

Step-by-step explanation:

Slope intercept form is y=mx+b (m=slope and b=y intercept)

so the equation would be y=1x-4 but you should simplify to y=x-4

3.75x-5-8.75X+4.5+0.5

Answers

Step-by-step explanation:

3.75x-5-8.75x+4.5+0.5

=3.75x-8.75x+4.5+0.5-5

=-5x+5-5

==-5x

What is the constant of proportionality in the equation 3y = 2x

Answers

Answer:k = 2/3

Step-by-step explanation:

When a variable y directly relates to another variable x, we can say:

y=kx

Given the equation, we can say

3y=2x

y= 2x/3

Putting the value of y from above discussion

kx = 2x/3

x is being cancelled on both sides of equation

k= 2/3

Answer:

k = 2/3

Step-by-step explanation:

i don’t know how to explain sorry I’m not good at explaining but I hope this helps

Which expression is not equivalent to 3x-2

Answers

Answer: Let's simplify step-by-step.

3x−2

There are no like terms.

So it going to be the same, =3x-2

Step-by-step explanation: hope you understand

Answer:

2x + 2 + x

Step-by-step explanation:

What is the solution to the egquation 3(2x+5) = 3x+4x?
O x=0
O x=4
O x=5
O x=15

Answers

Answer:

this is the answer (x=5)

Answer:

X=15

The last bubble

y = -x + 2
y = 3x – 4
what's the value of x and y

Answers

Y=-x+2
X=2

Y=3x- 4

X=4/3

HELP PLZ

If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),



A. find each side length



B. classify the triangle based on the sides

Answers

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

i need help with part a and b. sorry its kind of hard to read

Answers

Answer:

A) 4900

B) How far above she is before she starts hiking/the distance she is from the canyon floor.

Step-by-step explanation:

Since it's linear, it will follow the formula y=mx+c.

We can sub in the values to get:

3500=m(1)+c → 3500-m=c

2100=m(2)+c → 2100 = 2m+c

Sub '3500-m' in for c:

2100=2m+3500-m

m= -1400

c=3500-m=3500-(-1400)=3500+1400=4900

∴equation is: y= -1400x+4900

To find the initial value, ie when the number of hours = 0, we sub in zero for x:

y = -1400(0) + 4900

PART A ANS: 4900

PART B ANS: Since the number of hours passed is zero, the value represents how far above she is before she starts hiking/the distance she is from the canyon floor.

Solve for x.

a. 16
b. 11
c. 6

Answers

the answer is c. 6

a triangles angles must add up to 180 degrees. 70+60=130 so 180-130=50. so the last angle is 50 degrees. then u set up 8x+2=50 and solve.
C!!!!!!!!!!!!!!!!!!!!

Need help plz help plz

Answers

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

The theorem that applies to this question is the theorem of external angles. And it translates to:

[tex]11x +2 = 58 + 5x + 10[/tex]

Collect Like Terms

[tex]11x -5x = 58 + 10-2[/tex]

[tex]11x -5x = 66[/tex]

[tex]6x = 66[/tex]

Divide through by 6

[tex]\frac{6x}{6} = \frac{66}{6}[/tex]

[tex]x = \frac{66}{6}[/tex]

[tex]x = 11[/tex]

use, or to compare the following numbers. -2 or 12 <>

Answers

Answer:

-2 < 12

Step-by-step explanation:

12 is bigger than -2.

solve: logx 64 = 3. Which is an equivalent equation?

Answers

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

2

+

2

i

3

,

2

2

i

3

Step-by-step explanation:

Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?

Answers

Answer:

20.40

Step-by-step explanation:

Answer:

10 dollars. I think.

Step-by-step explanation:

X +2 = 8


What is X in this problem/situation ?????????????

HELP ME!!!!!!!!!!!!! Plzzz

Answers

X = 6

because 8 - 2 = 6

X=6
2=8
-2=-2
X=6.
You’re welcome;)


A bowl contains 61 red and yellow Skittles. The number of red Skittles is 10 more than twice the number of
yellow Skittles. How many of each color are in the bowl?
Define your variables and write a system of equations that could be used to determine the number of red
Skittles and yellow Skittles in the bowl. (DO NOT SOLVE THE SYSTEM)
Let
Equation 1:
Let
Equation 2:

Answers

Answer:

the red skittles be 44 and yellow skittles be 17

Step-by-step explanation:

The computation of the number of each color are in the bowl is as follows;

Let us assume the red skittles be y

And, the yellow skittles be x

The first equation is

x + y = 61

And, the second equation is

y = 2x + 10

Now put the second equation in the first equation

x + 2x + 10 = 61

3x = 51

x = 51 ÷ 3

= 17

And, y = 2 (17) + 10

= 34 + 10

= 44

Hence, the red skittles be 44 and yellow skittles be 17

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