Question

part ii questions: answer all questions in this part. indicate the necessary steps and explain your reasoning. for all questions in this part, a correct numerical answer with no work shown will receive only 1 credit.

1. if (f(x)=\frac{x}{3}-12) and (h(x)=x^{2}-1), then determine the value of (f(h(7))). 2 points
2. consider the graphs of the functions (y = f(x)) and (y = g(x)) shown below.

(y = f(x))
(y = g(x))

Explanation:

Step1: Find the value of $h(7)$

Given $h(x)=x^{2}-1$, substitute $x = 7$ into the function. So $h(7)=7^{2}-1=49 - 1=48$.

Step2: Find the value of $f(h(7))$

Since $h(7)=48$ and $f(x)=\frac{x}{3}-12$, substitute $x = 48$ into $f(x)$. Then $f(h(7))=f(48)=\frac{48}{3}-12=16 - 12 = 4$.

Answer:

4