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20 votes
20 votes
If you do this for me I'll love you forever!!!!​

If you do this for me I'll love you forever!!!!​-example-1
User Kaniyan
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1 Answer

27 votes
27 votes

Answer:

1: B

2: H

3. C or D (it's hard to tell, especially without an equation)

4. J

5. A

6. G

7. B

Explanation:

1:

f(x) - g(x)

(x^2 + 8x) - (3x - 5) Distribute the negative

x^2 + 8x - 3x + 5 Combine like terms

x^2 + 5x + 5

2:

f(g(x))

Plug g(x) into f(x)

(2x - 1)^2 - 3

Immediately we can see that there will be a 4x^2 (because 2x times 2x = 4x^2) so we know the answer will be H because that's the only option with 4x^2

3:

The line starts at -4 on the x axis and goes infinitely to the right so everything greater than (and maybe equal to) -4.

On the y axis, the line starts at 0 and goes infinitely up so everything greater than (and maybe equal to) 0.

4:

To find the inverse of a function:

f(x) -> y

Switch x and y

Solve for y again

x = 3 +5y

x-3 = 5y

(x-3)/5 = y

5:

If option A were inverse functions, h(x) would be

x = 2y + 9

x - 9 = 2y

(x-9)/2 = y

Which could also be written as (1/2)x - 9/2 or (1/2)x - 4.5 but not (1/2)x - 9

6:

As y approaches -1, x approaches 1. Going the other direction,

As y approaches positive infinity, x approaches positive infinity.

7:

The number inside directly affecting the x moves the function left and right (left is positive, right is negative). The number outside moves the function up and down. So (x + 4) moves it left 4 and the +1 moves it up 1.

User Dpetrini
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2.9k points