SOLUTION: Given f(x)= 6x + 5 and g(x) = x^2-1, find the composite function (f*g)(x) and simplify.

Algebra ->  Functions -> SOLUTION: Given f(x)= 6x + 5 and g(x) = x^2-1, find the composite function (f*g)(x) and simplify.      Log On


   

Question 91344: Given f(x)= 6x + 5 and g(x) = x^2-1, find the composite function (f*g)(x) and simplify.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
f%28x%29+=+6x%2B5 and g%28x%29+=+x%5E2-1 find f%28g%28x%29%29 Substitute g%28x%29+=+x%5E2-1 for the x in f%28x%29+=+6x%2B5
f%28x%5E2-1%29+=+6%28x%5E2-1%29%2B5%29 Simplify.
f%28g%28x%29%29+=+6x%5E2-6%2B5
f%28g%28x%29%29+=+6x%5E2-1