Question

evaluate the function $f(x)=x^2 + 8x + 7$ at the given values of the independent variable and simpl\
a. $f(8)$ \\ b. $f(x + 5)$ \\ c. $f(-x)$\
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a. $f(8)=\square$ (simplify your answer.)

Explanation:

Step1: Substitute \( x = 8 \) into \( f(x) \)

We have the function \( f(x)=x^{2}+8x + 7 \). When \( x = 8 \), we substitute \( x \) with 8 in the function:
\( f(8)=8^{2}+8\times8 + 7 \)

Step2: Calculate each term

First, calculate \( 8^{2}=64 \), then \( 8\times8 = 64 \). Now substitute these values back into the expression:
\( f(8)=64 + 64+7 \)

Step3: Sum the terms

Add the numbers together: \( 64+64 = 128 \), then \( 128 + 7=135 \)

Answer:

\( 135 \)