SOLUTION: I have to find the composition of functions! Can't figure this one out either! g(x)=x^2-8 f(x)=(-x+1)^1/2 find (fog)(x) Help me pleasse!!!!

Algebra ->  Functions -> SOLUTION: I have to find the composition of functions! Can't figure this one out either! g(x)=x^2-8 f(x)=(-x+1)^1/2 find (fog)(x) Help me pleasse!!!!      Log On


   

Question 214737: I have to find the composition of functions! Can't figure this one out either!
g(x)=x^2-8 f(x)=(-x+1)^1/2 find (fog)(x)

Help me pleasse!!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note:

f%28x%29=%28-x%2B1%29%5E%281%2F2%29%5E%22%22 Start with the given function.


f%28g%28x%29%29=%28-%28x%5E2-8%29%2B1%29%5E%281%2F2%29%5E%22%22 Plug in g%28x%29=x%5E2-8


f%28g%28x%29%29=%28-x%5E2%2B8%2B1%29%5E%281%2F2%29%5E%22%22 Distribute


f%28g%28x%29%29=%28-x%5E2%2B9%29%5E%281%2F2%29%5E%22%22 Combine like terms.


So