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

Question

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

Explanation:

Step1: Substitute $x=6$ into $f(x)$

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

Step2: Calculate $f(6)$

$f(6) = -18 + 4 = -14$

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:

$f(6) = -14$
$g(-3) = 79$