Question

evaluate the function ( f(x) = x^2 + 6x + 7 ) at the given values of the independent variable and simplify.
a. ( f(0) )
b. ( f(x + h) )
c. ( f(-x) )
a. ( f(0) = square ) (simplify your answer.)

Explanation:

Step1: Substitute \( x = 0 \) into \( f(x) \)

Given \( f(x)=x^{2}+6x + 7 \), substitute \( x = 0 \):
\( f(0)=(0)^{2}+6\times(0)+7 \)

Step2: Simplify the expression

Calculate each term: \( 0^{2}=0 \), \( 6\times0 = 0 \). Then \( f(0)=0 + 0+7=7 \)

Answer:

\( 7 \)