SOLUTION: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value. f(g(0)) g(f(4/5)) thanks for you help.. xo

Algebra ->  Rational-functions -> SOLUTION: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value. f(g(0)) g(f(4/5)) thanks for you help.. xo      Log On


   

Question 186432: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value.
f(g(0))
g(f(4/5))
thanks for you help.. xo
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.


First, find the inner value g%280%29


g%28x%29+=+x%5E2-1 Start with the second function.


g%280%29+=+0%5E2-1 Plug in x=0


g%280%29+=+0-1 Square 0 to get 0


g%280%29+=+-1 Subtract


--------------------------------------------


Now take that result and plug it into f(x):


+f%28x%29+=+5x-4 Move onto the first function.


+f%28g%280%29%29+=+5%28-1%29-4 Plug in g%280%29=-1


+f%28g%280%29%29+=+-5-4 Multiply


+f%28g%280%29%29+=+-9 Subtract


So the answer is +f%28g%280%29%29+=+-9