I added the questions below

Question

Use f(x) = 3x − 4

 and g(x) = 2 − x²

 to evaluate the expression.

(a)    (f ∘ f)(−1)

 

(b)    (g ∘ g)(−1)

 

Use f(x) = 4x − 2

 and g(x) = 5 − x²

 to evaluate the expression.

(a)    f(f(2))

 

(b)    g(g(3))

 

Answer 1

Use f(x) = 3x − 4

 and g(x) = 2 − x²

 to evaluate the expression.

(a)    (f ∘ f)(−1)

This means put the value of -1 into the function f, and then put your result into f AGAIN

f(-1) = 3(-1) - 4 = - 7

f(-7) = 3(-7) - 4 = -25

(b)    (g ∘ g)(−1)

This means put the value of -1 into the function g, and then put your result into g AGAIN

g(-1) = 2 - (-1)^2 = 1

g(1) = 2 - (1)^2 = 1

Use f(x) = 4x − 2

 and g(x) = 5 − x²

 to evaluate the expression.

(a)    f(f(2))

This means  put the value of 2 into the function f, and then put your result into f AGAIN.

First: f(2) = 4(2) - 2 = 6

Now do f(6) = 4(6) - 2 = 22

(b)    g(g(3))

This means put the value of 3 into the function g, and then put your result into g again.

g(3) = 5 - (3)^2 = -4

g(-4) = 5 - (-4)^2 = -11