SOLUTION: given f(x)=3x-2 and g(x)= x^2+1 find : 1. (fog)(x) 2. (gof)(1) 3. (fog)(2)

Algebra ->  Functions -> SOLUTION: given f(x)=3x-2 and g(x)= x^2+1 find : 1. (fog)(x) 2. (gof)(1) 3. (fog)(2)      Log On


   

Question 1157675: given f(x)=3x-2 and g(x)= x^2+1
find :
1. (fog)(x)
2. (gof)(1)
3. (fog)(2)
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=3x-2 and g%28x%29=x%5E2%2B1.
1. f%28g%28x%29%29=f%28x%5E2%2B1%29=3%28x%5E2%2B1%29-2=3x%5E2%2B3-2=highlight%283x%5E2%2B1%29 Cartoon example:
2. g%28f%281%29%29=g%283%2A1-2%29=g%281%29=1%5E2%2B1=highlight%282%29 Cartoon: .
3. Since from 1, we know that f%28g%28x%29%29=3x%5E2%2B1, f%28g%281%29%29=3%2A1%5E2%2B1=highlight%284%29.