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evaluate the function $f(x) = 5x + 2$ at the given values of the indepe…

Question

evaluate the function $f(x) = 5x + 2$ at the given values of the independent variable and simplify.

a. $f(-1)$

b. $f(x + 2)$

c. $f(-x)$

a. $f(-1) = \square$ (simplify your answer.)

Explanation:

Step1: Substitute \( x = -1 \) into \( f(x) \)

We have the function \( f(x) = 5x + 2 \). To find \( f(-1) \), we replace \( x \) with \( -1 \) in the function. So we get \( f(-1)=5\times(-1)+2 \).

Step2: Simplify the expression

First, calculate \( 5\times(-1)= -5 \). Then add 2 to it: \( -5 + 2=-3 \).

Answer:

\( -3 \)