Question 1080216
(fg)(x) is the same as (f*g)(x) or f(x)*g(x)


This means we are multiplying the functions.


(fg)(x) = (f*g)(x)


(fg)(x) = f(x)*g(x)


(fg)(x) = [ f(x) ] * [ g(x) ]


(fg)(x) = [ x+1 ] * [ x-1 ]


(fg)(x) = x(x-1) + 1(x-1)


(fg)(x) = x^2 - x + x - 1


(fg)(x) = <font color=red>x^2 - 1</font>


So the final answer is <font color=red>choice B) x^2 - 1</font>


Side note: You can use the difference of squares formula as a shortcut.