Question

given the following functions f(x) and g(x), solve (f · g)(2) and select the correct answer below: f(x)=2x^{2}-10 g(x)=x + 9 -66 -22 66 22

Explanation:

Step1: Find f(2)

Substitute x = 2 into f(x):
$f(2)=2\times2^{2}-10=2\times4 - 10=8 - 10=- 2$

Step2: Find g(2)

Substitute x = 2 into g(x):
$g(2)=2 + 9=11$

Step3: Calculate (f·g)(2)

By the definition of the product of two functions $(f\cdot g)(x)=f(x)\cdot g(x)$, so $(f\cdot g)(2)=f(2)\cdot g(2)$.
$(f\cdot g)(2)=-2\times11=-22$

Answer:

-22