Answer :
To find [tex]\( f(-2) \)[/tex] for the function [tex]\( f(x) = (x + 9)^2 \)[/tex], follow these steps:
1. Substitute [tex]\(-2\)[/tex] for [tex]\(x\)[/tex] in the function [tex]\( f(x) \)[/tex].
[tex]\[
f(-2) = ((-2) + 9)^2
\][/tex]
2. Simplify inside the parentheses:
[tex]\[
(-2) + 9 = 7
\][/tex]
3. Square the result:
[tex]\[
(7)^2 = 49
\][/tex]
Therefore, [tex]\( f(-2) = 49 \)[/tex].
The correct answer is D. 49.
1. Substitute [tex]\(-2\)[/tex] for [tex]\(x\)[/tex] in the function [tex]\( f(x) \)[/tex].
[tex]\[
f(-2) = ((-2) + 9)^2
\][/tex]
2. Simplify inside the parentheses:
[tex]\[
(-2) + 9 = 7
\][/tex]
3. Square the result:
[tex]\[
(7)^2 = 49
\][/tex]
Therefore, [tex]\( f(-2) = 49 \)[/tex].
The correct answer is D. 49.
