Question 972701
Given f(x) = (x+1) and g(x) = (2x-3), find f*g(11/2).


since (f*g)(x) = f(x) * g(x), then:


(f*g)(x) = (x+1) * (2x-3).


if you are looking for (f*g)(11/2), the you just replace x with 11/2 and you get:


(f*g)(11/2) = (11/2+1) * (2(11/2)-3) which becomes:


(f*g)(11/2) = (13/2) * (16/2) = 52


you could also have solved it using x and then evaluated it using x = 11/2.


(f*g)(x) = (x+1)*(2x-3) = 2x^2 -3x + 2x - 6 = 2x^2 - x - 3.


when x = 11/2, this becomes 2*(11/2)^2 - (11/2) - 3 which is equal to 52.