Question

the functions f and g are defined as follows.
$f(x) = 3x^2 - 3x$
$g(x) = -3x + 4$
find $f(-5)$ and $g(4)$.
simplify your answers as much as possible.
$f(-5) = \square$
$g(4) = \square$

Explanation:

Step1: Substitute $x=-5$ into $f(x)$

$f(-5)=3(-5)^2 - 3(-5)$

Step2: Calculate powers and products

$f(-5)=3(25) + 15$

Step3: Simplify to find $f(-5)$

$f(-5)=75 + 15 = 90$

Step4: Substitute $x=4$ into $g(x)$

$g(4)=-3(4) + 4$

Step5: Calculate product and simplify

$g(4)=-12 + 4 = -8$

Answer:

$f(-5)=90$
$g(4)=-8$