Question

the functions f and g are defined as follows.
$f(x)=2x - 1$ $g(x)=-2x^{3}-5$
find $f(-2)$ and $g(-3)$.
simplify your answers as much as possible.
$f(-2)=\square$
$g(-3)=\square$

Explanation:

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

Substitute \( x = -2 \) into \( f(x) = 2x - 1 \).
\( f(-2) = 2(-2) - 1 \)
\( = -4 - 1 \)
\( = -5 \)

Step2: Calculate \( g(-3) \)

Substitute \( x = -3 \) into \( g(x) = -2x^3 - 5 \).
First, calculate \( (-3)^3 = -27 \).
Then, \( g(-3) = -2(-27) - 5 \)
\( = 54 - 5 \)
\( = 49 \)

Answer:

\( f(-2) = -5 \)
\( g(-3) = 49 \)