Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the functions f and g are defined as follows: $f(x) = 4x + 4$ $g(x) = 3…

Question

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

Explanation:

Step1: Substitute $x=-4$ into $f(x)$

$f(-4) = 4(-4) + 4$

Step2: Calculate $f(-4)$

$f(-4) = -16 + 4 = -12$

Step3: Substitute $x=3$ into $g(x)$

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

Step4: Calculate $g(3)$

$g(3) = 3(27) - 2 = 81 - 2 = 79$

Answer:

$f(-4) = -12$
$g(3) = 79$