Question

The functions f and g are defined as follow:

g(x)=-2x³-3
f(x)=-3x-1
Find f(4) and g(-2).
Simplify your answers as much as possible

Answer 1

Explanation:

f(4)= -3(4)-1= -13

g(-2)= -2(-2)^3 -3

=16-3 =13

Answer 2

`f(4) = \boxed{-13}`

`g(-2) = \boxed{13}`

Explanation:

Given functions:

`\begin{cases}f(x)=-3x-1\\g(x)=-2x^3-3 \end{cases}`

To find f(4), substitute x = 4 into function f(x):

`\begin{aligned}f(4) & = -3(4)-1\\& = -12-1\\& = -13\end{aligned}`

To find g(-2), substitute x = -2 into function g(x):

`\begin{aligned}g(-2) & = -2(-2)^3-3\\& = -2(-8)-3\\& = 16-3\\& = 13\end{aligned}`

Therefore:

`f(4) = \boxed{-13}`

`g(-2) = \boxed{13}`