Question

if $f(x) = -6x + 2$ and $g(x) = x^2 - 2x + 5$, find $f(-3) + g(2)$.

Explanation:

Step1: Calculate \( f(-3) \)

Substitute \( x = -3 \) into \( f(x) = -6x + 2 \):
\( f(-3) = -6(-3) + 2 \)
\( = 18 + 2 \)
\( = 20 \)

Step2: Calculate \( g(2) \)

Substitute \( x = 2 \) into \( g(x) = x^2 - 2x + 5 \):
\( g(2) = (2)^2 - 2(2) + 5 \)
\( = 4 - 4 + 5 \)
\( = 5 \)

Step3: Calculate \( f(-3) + g(2) \)

Add the results from Step1 and Step2:
\( f(-3) + g(2) = 20 + 5 \)
\( = 25 \)

Answer:

25