Question

the functions f and g are defined as follows.
$f(x) = -4x + 2$ $g(x) = 2x^3 + 6$
find $f(3)$ and $g(-4)$.
simplify your answers as much as possible.
$f(3) = \square$
$g(-4) = \square$

Explanation:

Step1: Calculate \( f(3) \)

Substitute \( x = 3 \) into \( f(x)=-4x + 2 \).
\( f(3)=-4\times3 + 2=-12 + 2=-10 \)

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

Substitute \( x=-4 \) into \( g(x)=2x^{3}+6 \).
First, calculate \( (-4)^{3}=-64 \). Then, \( 2\times(-64)+6=-128 + 6=-122 \)

Answer:

\( f(3)=-10 \)
\( g(-4)=-122 \)