Question

the functions f and g are defined as follows.
f(x)=2x³ + 6 g(x)=2x - 3
find f(-4) and g(-7).
simplify your answers as much as possible.
f(-4) =
g(-7) =

Explanation:

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

$f(-4)=2(-4)^3 + 6$

Step2: Calculate $(-4)^3$ and simplify

$(-4)^3=-64$, so $f(-4)=2(-64)+6=-128+6$

Step3: Compute final value of $f(-4)$

$f(-4)=-122$

Step4: Substitute $x=-7$ into $g(x)$

$g(-7)=2(-7)-3$

Step5: Calculate and simplify $g(-7)$

$g(-7)=-14-3$

Step6: Compute final value of $g(-7)$

$g(-7)=-17$

Answer:

$f(-4)=-122$
$g(-7)=-17$