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the functions $f$ and $g$ are defined as follows. $f(x)=-5x-1$ $g(x)=3x…

Question

the functions $f$ and $g$ are defined as follows.
$f(x)=-5x-1$ $g(x)=3x^{3}+5$
find $f(7)$ and $g(-4)$.
simplify your answers as much as possible.
$f(7) = -36$
$g(-4) = $

Explanation:

Step1: Substitute $x=7$ into $f(x)$

$f(7) = -5(7) - 1$

Step2: Calculate $f(7)$

$f(7) = -35 - 1 = -36$

Step3: Substitute $x=-4$ into $g(x)$

$g(-4) = 3(-4)^3 + 5$

Step4: Calculate $(-4)^3$ and simplify

$g(-4) = 3(-64) + 5 = -192 + 5 = -187$

Answer:

$f(7) = -36$
$g(-4) = -187$