Question

consider functions f and g.
what is the value of x when (f ∘ g)(x) = 3?
options: 1, 0, -2, -1

Explanation:

Step1: Define composite function

$(f \circ g)(x) = f(g(x))$

Step2: Find $y$ where $f(y)=3$

From the graph of $f(x)$, $f(1)=3$. So $g(x)=1$.

Step3: Find $x$ for $g(x)=1$

From the table, $g(-1)=1$.

Answer:

-1