SOLUTION: Let f(x)=x^2-1,x is greater than or equal to zero. g(x)=square root of x-1 a) Find (f*g)(x)= b) Find (g*f)(x)=

Algebra ->  Coordinate-system -> SOLUTION: Let f(x)=x^2-1,x is greater than or equal to zero. g(x)=square root of x-1 a) Find (f*g)(x)= b) Find (g*f)(x)=      Log On


   

Question 1128581: Let f(x)=x^2-1,x is greater than or equal to zero. g(x)=square root of x-1
a) Find (f*g)(x)=
b) Find (g*f)(x)=
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let f%28x%29=x%5E2-1, x+%3E=0.
g%28x%29=sqrt+%28x-1%29
a) Find %28f%2Ag%29%28x%29=>I guess you have %28f+o+g%29%28x%29
%28f+o+g%29%28x%29=+f%28g%28x%29%29=+%28%28sqrt+%28x-1%29%29%5E2-1%29=x-1-1=x-2
b)
Find %28g%2Af%29%28x%29-> %28g+o+f%29%28x%29
%28g+o+f%29%28x%29=+g%28f%28x%29%29=sqrt+%28%28x%5E2-1%29-1%29=sqrt+%28x%5E2-2%29