Question

evaluate the function \\(f(x) = 5x + 3\\) at the given values of the independent variable and simplify.

a. \\(f(7)\\) b. \\(f(x + 3)\\) c. \\(f(-x)\\)

a. \\(f(7) = \\) (simplify your answer.)

b. \\(f(x + 3) = \\) (simplify your answer.)

c. \\(f(-x) = \\) (simplify your answer.)

Explanation:

Evaluate the function at x = 7

$$ f(7) = 5(7) + 3 = 35 + 3 = 38 $$

Evaluate the function at x + 3

$$ f(x+3) = 5(x+3) + 3 = 5x + 15 + 3 = 5x + 18 $$

Evaluate the function at -x

$$ f(-x) = 5(-x) + 3 = -5x + 3 $$

Answer:

Question 1

\(f(7) =\) <blank>38</blank>

Question 2

\(f(x+3) =\) <blank>\(5x + 18\)</blank>

Question 3

\(f(-x) =\) <blank>\(-5x + 3\)</blank>