Question

5
type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
consider functions f and g.
f(x) = 8/(x + 2)
g(x) = 4x² + 2
evaluate the function composition.
(f ∘ g)(-1) =

Explanation:

Step1: Evaluate $g(-1)$

$g(-1)=4(-1)^2 + 2 = 4(1)+2=6$

Step2: Substitute into $f(x)$

$f(g(-1))=f(6)=\frac{8}{6+2}$

Step3: Simplify the fraction

$\frac{8}{8}=1$

Answer:

1