Question

evaluate each expression using the graphs of y = f(x) and y = g(x) shown. (a) (g ∘ f)(-1) (b) (g ∘ f)(0) (c) (f ∘ g)(-1) (d) (f ∘ g)(4) (a) (g ∘ f)(-1) = \square (simplify your answer.)

Explanation:

Step1: Find $f(-1)$ from $y=f(x)$

From the graph of $y=f(x)$, when $x=-1$, $f(-1)=-1$.

Step2: Substitute into $g(f(-1))$

Now find $g(-1)$ from $y=g(x)$. When $x=-1$, $g(-1)=5$.

Answer:

$5$