Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the functions f and g are defined as follows. $f(x) = 3x - 3$ $g(x) = -…

Question

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

Explanation:

Step1: Substitute $x=-3$ into $f(x)$

$f(-3)=3(-3)-3$

Step2: Calculate $f(-3)$

$f(-3)=-9-3=-12$

Step3: Substitute $x=-2$ into $g(x)$

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

Step4: Calculate $g(-2)$

$g(-2)=-3(-8)-2=24-2=22$

Answer:

$f(-3)=-12$
$g(-2)=22$