if $f(x)=8 - 10x$ and $g(x)=5x + 4$, what is the value of $(fg)(-2)$?\n-196\n-168\n22\n78

Explanation:

Step1: Recall the definition of function - product

$(fg)(x)=f(x)\times g(x)$.

Step2: Substitute $x = - 2$

$(fg)(-2)=f(-2)\times g(-2)$.

Step3: Find $f(-2)$

Given $f(x)=8 - 10x$, substitute $x=-2$: $f(-2)=8-10\times(-2)=8 + 20=28$.

Step4: Find $g(-2)$

Given $g(x)=5x + 4$, substitute $x=-2$: $g(-2)=5\times(-2)+4=-10 + 4=-6$.

Step5: Calculate $(fg)(-2)$

$(fg)(-2)=f(-2)\times g(-2)=28\times(-6)=-168$.

Answer:

-168