Question

the functions f and g are defined as follows.
$f(x)=2x^2 - 3x$ $g(x)=-2x - 3$
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 $f(x)$

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

Step2: Calculate powers and products

$f(-5)=2(25) + 15$

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

$f(-5)=50 + 15 = 65$

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

$g(4)=-2(4) - 3$

Step5: Calculate product and simplify

$g(4)=-8 - 3 = -11$

Answer:

$f(-5)=65$
$g(4)=-11$