Question

the functions f and g are defined as follows.
f(x) = 3x - 3
g(x) = 2x³ + 2
find f(-7) and g(-4).
simplify your answers as much as possible.
f(-7) =
g(-4) =

Explanation:

Step1: Calculate \( f(-7) \)

Substitute \( x = -7 \) into \( f(x) = 3x - 3 \).
\( f(-7) = 3\times(-7) - 3 \)
\( = -21 - 3 \)
\( = -24 \)

Step2: Calculate \( g(-4) \)

Substitute \( x = -4 \) into \( g(x) = 2x^3 + 2 \).
\( g(-4) = 2\times(-4)^3 + 2 \)
First, calculate \( (-4)^3 = -64 \).
Then, \( 2\times(-64) + 2 = -128 + 2 = -126 \)

Answer:

\( f(-7) = -24 \)
\( g(-4) = -126 \)