Question

evaluate the function ( f(x) = 5x + 2 ) at the given values of the independent variable and simplify.
\ta. ( f(-1) )
\tb. ( f(x + 2) )
\tc. ( f(-x) )

a. ( f(-1) = -3 ) (simplify your answer.)
b. ( f(x + 2) = square ) (simplify your answer.)

Explanation:

Step1: Substitute \( x + 2 \) into \( f(x) \)

We have the function \( f(x)=5x + 2 \). To find \( f(x + 2) \), we replace every \( x \) in the function with \( x + 2 \). So we get \( f(x + 2)=5(x + 2)+2 \).

Step2: Distribute and simplify

First, distribute the 5 in \( 5(x + 2) \): \( 5(x + 2)=5x+10 \). Then add the 2: \( 5x + 10+2 \). Combine like terms: \( 5x+(10 + 2)=5x+12 \).

Answer:

\( 5x + 12 \)