Question

for the pair of functions, f(x)=x+2 and g9x)=x^2+x-3, find the following

a).(f*g)(x) b).(f*g)(4) c).(g*f)(x) d).(g*f)(4)

Answer 1

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

I'm sure you can do the rest on your own.

Answer 2

a. (x^2+x-3)+2 = x^2+x-1
b. (4^2+4-3)+2 = 19
c. (x+2)^2+(x+2)-3 = x^2+4x+4+x+2-3
= x^2 +5x+3
d. (4)^2+5(4)+3 =39

Answer 3

That's not true, right? He asked for (f*g)(x), not f(g(x)).