Question

let $f(x)=x^2 - 9$ and $g(x)=14 - x$. perform the composition or operation indicated.$(fg)(-2)$$(fg)(-2)=\square$

Explanation:

Step1: Define product of functions

$(fg)(x) = f(x) \cdot g(x)$

Step2: Substitute $x=-2$ into $f(x)$

$f(-2) = (-2)^2 - 9 = 4 - 9 = -5$

Step3: Substitute $x=-2$ into $g(x)$

$g(-2) = 14 - (-2) = 14 + 2 = 16$

Step4: Multiply the two results

$(fg)(-2) = f(-2) \cdot g(-2) = (-5) \times 16$

Answer:

$-80$