Question

select the correct answer.
consider functions f and g.
f(x) = 2x + 9
graph of g(x) is shown
what is the value of g(f(-5))?
a. -1
b. 0
c. -5
d. 5

Explanation:

Step1: Calculate $f(-5)$

Substitute $x=-5$ into $f(x)=2x+9$:
$f(-5)=2(-5)+9=-10+9=-1$

Step2: Find $g(f(-5))=g(-1)$

Locate $x=-1$ on the graph of $g(x)$ and read the corresponding $y$-value. The graph shows $g(-1)=5$.

Answer:

D. 5