Use f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a) (f ∘ f)(−1)

Answer 1

These are composition functions. You are putting (-1) into f(x), getting the output (y). That becomes you new “x” and you put that output into f(x). 

(f ∘f)(−1) is the same as

f(f(-1)) = 3(-1)-5 = -8, then 3(-8)-5 = -29

Answer is -29

Answer 2

(f o f)(x) = 3(3x - 5) - 5

(f o f)(x) = 9x - 15 - 5

(f o f)(x) = 9x - 20

(f o f)(-1) = ?