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

8 to the 7th power/ 8 to the second power

Answers

Answer: 32768 or [tex]8^5[/tex].

Step-by-step explanation:

[tex]8^7[/tex]= 8x8x8x8x8x8x8 = 2097152

[tex]8^2[/tex]= 8x8 = 64

                                            Dividing Exponents

When you divide exponents with the same base. You subtract. So in this case, you subtract 7 by 2, (being exponents). The same base is 8. So your subtracting [tex]8^7[/tex] by [tex]8^2[/tex]. Which will get you [tex]8^5[/tex].

                                         

                                          Dividing Whole Numbers.

You are going to divide whole numbers. Its pretty self explanatory but I will do the math for you anyways.

64 goes into 2097152, 32768 times. Or we can say,

2097152 divided by 64 = 32768.

So the answer is 32768, or [tex]8^5[/tex].

Solve 37+z≤54
then graph the solution

Answers

This is the answer I think

If you divided 656 into 32 equal parts , each containing a whole number of square miles, how large would each part be? How large would the remaining area be?

Answers

Each part would be 20 square miles and the remaining area is 1/2 of a mile. I’m just going with what the calculator tells me...

A) SSS
B) SAS
C) Not enough information
D) AAS

Answers

Answer:

c

Step-by-step explanation:

18/19 as a decimal rounded to the nearest hundredth

Answers

Answer:

0.9 when I put it in the calculator

a=5 and c=13 what is the value of b?​

Answers

Answer: 8 is the answer

Step-by-step explanation:

Answer:

13.928

Step-by-step explanation:

Please help me!
I need help really fast

Answers

Answer:

75

Step-by-step explanation:

Jim will finish in 6 days because 300/50=6

So you know that Sam needs to finish the book in at exactly 4 days

300/4= 75 pages per day

Answer:

a lot

Step-by-step explanation:

a lot

How many moles are in a sample of 4.57 x 1024 atoms of neon (Ne)?
7.59 mol Ne
27.5 mol Ne
91.4 mol Ne
151 mol Ne

Can someone please explain how you divide 4.57 x 10^24 by 6.022 x 10^23?? Thank you

Answers

Answer:

151 mol Ne.

Step-by-step explanation:

I did work on Paper sorry if i can't type it, It'll mess it up.

is this linear or non-linear?
y=
[tex] \frac{x}{9} [/tex]
+12

Answers

Answer: Linear Function.

Step-by-step explanation: The Y intercept is 12, and the slope is x/9, so you have a constant slope, therefore it is linear.

linear because its a straight line

M/8-15=-12
What would m equal??

Answers

Answer:

24?

Step-by-step explanation:

please find solution to the equation

Answers

Answer:

n = 3/25

Step-by-step explanation:

5(n-1/10)=1/2

5n = 6/10

n = 3/25

Answer:

Step-by-step explanation:

lets remove the parenthesis

5n- 5/10=1/2

5n=1/2+1/2

5n=1

n=1/5

solve for w. 7w=-14

please help me with this one plz

Answers

Answer: w = -2

Step-by-step explanation:

7w = -14

Divide both sides by 7

w = -2

That was brief but hope it helps!

Answer:

W = -2

Step-by-step explanation:

7W÷7      -14÷7

W= -2

Frank is making a dog bed from a pattern. The picture shows the length and width of the piece of fabric he needs. Which is the area of the piece of fabric?

Answers

Answer:

252 square feet

Step-by-step explanation:

Need help plz!!!!!!!!!

Answers

Answer:

x = 35

Step-by-step explanation:

[tex]40 + 2x + 2x = 180[/tex]

Subtract 40 on both sides.

[tex]2x + 2x = 140[/tex]

[tex]4x = 140[/tex]

Divide with 4 on both sides.

[tex]x = 35[/tex]

What is the ordered pair of point A

What is the ordered pair of point D

What is tye ordered pair of point E

What is the ordered pair of point F

Answers

Answer:

A(5,6)

D(-2,-2)

E(3,-4)

F(2,-6)

Answer:

Step-by-step explanation:

A=(5,6)

D=(-2,-2)

E=(3,-4)

F=(2,-6)

please answer quickly​

Answers

Step-by-step explanation:

Supplementary angles add up to 180°. so,

2x+15 + 3x+5 = 180

5x+20=180

Subtract 20 from both sides

5x=160

Divide both sides by 5

x=32

Plug that into 2x+15, F = 64+15 = 79

for 3x+5, G = 96 +5 = 101

I don’t understand this someone pls help

Answers

To solve this, you need to plug in the numbers for h.

-4(-12) ≥ 8       48 ≥ 8  yes

-4(-7) ≥ 8         28 ≥ 8  yes

-4(-5) ≥ 8        20 ≥ 8  yes

-4(-3) ≥ 8        12 ≥ 8  yes

-4(-2) ≥ 8         8 ≥ 8  yes

-4(-1) ≥ 8         4 ≥ 8  no

-4(1) ≥ 8          -4 ≥ 8  no

-4(3) ≥ 8         -12 ≥ 8 no

-4(8) ≥ 8         -32 ≥ 8  no

Hope this helped!

Evaluate the expression 50 - t when t equals 10, 20, or 25. Then
complete the table to show the values.
50 t
50 -t
50-t
50 -
50 -
50 -
!!

Answers

Answer:

[tex](t,50-t) = \{(10,40),(20,30),(25,25)\}[/tex]

Step-by-step explanation:

Given

[tex]Expression: 50 - t[/tex]

Required

Evaluate when:

[tex]t = \{10,20,25\}[/tex]

When [tex]t =10.[/tex]

The expression is:

[tex]50 - t = 50 - 10[/tex]

[tex]50 - t = 40[/tex]

When t = 20

The expression is:

[tex]50 - t = 50 - 20[/tex]

[tex]50 - t =30[/tex]

When [tex]t = 25[/tex]

The expression is:

[tex]50 - t = 50 - 25[/tex]

[tex]50 - t =25[/tex]

The result is:

[tex](t,50-t) = \{(10,40),(20,30),(25,25)\}[/tex]

100 is the answer okay

Please help!!!!!! Thank you!

Answers

Answer:

y= -4/3x+8

Step-by-step explanation:

y=mx+b is the equation for a line

m=slope

b=y-intercept

First, find the slope

The formula for the slope is: y2-y1/x2-x1

8-0/0-6=

8/-6=4/-3

Plug the slope into the equation

y= -4/3x+b

Now find the y-intercept.

To do this, plug in the x and y of a coordinate and solve for b

I will use (0,8)

8= -4/3(0)+b

8=b

Plug the y-intercept into the equation

y= -4/3x+8

y= -4/3x+8 is your equation

Help help please!!

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

1) slope = -7/5, y-intercept = -4



2) slope = 1/5, y-intercept = -5

Answers

Answer:

1). y = -7/5x - 4

2). y = 1/5x - 5

Step-by-step explanation:

In this question, we have to write the slope-intercept form of the given information.

Slope intercept form is: y = mx + b

Our "m" value is our slope and our "b" value is our y-intercept.

With that knowledge, we can plug in our given information to the slope-intercept equation:

1) slope = -7/5, y-intercept = -4

Plug -7/5 to "m" and -4 to "b"

y = -7/5x - 4

2) slope = 1/5, y-intercept = -5

Plug 1/5 to "m" and -5 to "b"

y = 1/5x - 5

What is the interest on Rr 20,000 if the interest rate is 15%?

Answers

Answer: Rr.3,000

Step-by-step explanation:

The interest is the amount that accrues on a principal that was invested or a cost that was incurred.

It is based on a certain interest rate which in this case is 15%.

The principal is Rr. 20,000.

Interest = Principal * Interest rate

= 20,000 * 15%

= Rr.3,000

If m=3 and b=6 what is the correct slope intercept equation

Answers

Answer:y=3x+6

Step-by-step explanation:

Because the slope intercept equation is y=mx+b

the captain the chief mate the chief engineer walk around the deck of the ship it takes 4 minutes to the captain to circle the deck of the ship chief mate takes 5 minutes chief engineer takes 6 minutes how many minutes will they meet again at starting point

Answers

Answer:

60 minutes

Step-by-step explanation:

Step 1

We Find and list multiples of each number of minutes that each person walked around the deck until the first common multiple is found. This is the lowest common multiple.

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

Therefore,

LCM(4, 5, 6) = 60

They would meet again at starting point after 60 minutes

PLEEEAAASE HURRY!!!!!

Answers

Answer:

I got you its C babes if you need anything else I can help

Answer:

the answer is

[tex]3 \frac{7}{20} [/tex]

Step-by-step explanation:

hope it helps

I really need help for this geometry question, I would appreciate any help thank you.

Answers

Answer:

75=x

Step-by-step explanation:

They are the same triangle indicated by the dashes and the angle marks

so x would be the same as the angle A

Triangles add up to 180 degrees

so

180-45-60=75

Brainliest to right answer!

Answers

Answer:

2/3.

Step-by-step explanation:

Sana makatulong

What equation could be written for this table?

Answers

you need a picture of the table :(
Hey where is the table though?

i need help and i need the work shown.

Answers

Answer:

step by step below

Step-by-step explanation:

p+7≤16

p +7 - 7≤ 16 - 7

p ≤ 9

7p>-28

7P/7 > - 28/7

p> -4

or

-4 < p ≤ 9

3
.
-2x + 24 + 4x - 4 = 60

Answers

Answer:

x=8

Step-by-step explanation:

the equation of line L, is y=5x+1

Answers

Answer:

Both lines have a slope of 5, therefore they are parallel lines.

Step-by-step explanation:

The equation of line L₁, is y=5x+1 The equation of line L₂ is 2y-10x+3=0 Show that these two lines are parallel.

As we know, the Parallel lines have equal slopes

The slop intercept form is y = mx + c

Where m is the slope and c is the y-intercept.

Consider the line L₁,

y = 5x + 1 is in the slop intercept form where slope m = 5

Now consider the line L₂.

Write L₂, 2y-10x+3=0 into slope-intercept form

[tex]2y=10x-3[/tex]

[tex]y=5x-\frac{3}{2}[/tex]

The slope of the lines L₂ is m = 5.

Since both lines have a slope of 5, therefore they are parallel lines.

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