Question

the functions f and g are defined as follows.
f(x)=2x³ +2 g(x)=-5x-1
find f(-2) and g(5).
simplify your answers as much as possible.
f(-2) =
g(5) =

Explanation:

Step1: Calculate \( f(-2) \)

Substitute \( x = -2 \) into \( f(x) = 2x^3 + 2 \).
\( f(-2) = 2(-2)^3 + 2 \)
First, calculate \( (-2)^3 = -8 \).
Then, \( 2(-8) = -16 \).
Finally, \( -16 + 2 = -14 \).

Step2: Calculate \( g(5) \)

Substitute \( x = 5 \) into \( g(x) = -5x - 1 \).
\( g(5) = -5(5) - 1 \)
Calculate \( -5(5) = -25 \).
Then, \( -25 - 1 = -26 \).

Answer:

\( f(-2) = -14 \)
\( g(5) = -26 \)