Answer
False
Work Step by Step
In order to consider the composite function $f(g(x))$, we replace the x in $f(x)$ with $g(x)$. This gives:
$$f(x)= x^2 \\ f(g(x)) = (\sqrt{x+9})^2 \\ f(g(x))=x+9 \\ f(g(4))=4+9=13$$
The statement is false.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.