SOLUTION: Let f(x)=x^2+1 and g(x)=3x-1. Find f(g(x)) and simplify the result. A.3x^2 B.3x^2+2 C.9x^2-6x D.9x^2-6x+2

Algebra ->  Rational-functions -> SOLUTION: Let f(x)=x^2+1 and g(x)=3x-1. Find f(g(x)) and simplify the result. A.3x^2 B.3x^2+2 C.9x^2-6x D.9x^2-6x+2       Log On


   

Question 756552: Let f(x)=x^2+1 and g(x)=3x-1. Find f(g(x)) and simplify the result.
A.3x^2
B.3x^2+2
C.9x^2-6x
D.9x^2-6x+2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Just form the composition and simplify.
f%28x%29=x%5E2%2B1
f%28g%28x%29%29=%283x-1%29%5E2%2B1
f%28g%28x%29%29=9x%5E2-6x%2B1%2B1
f%28g%28x%29%29=9x%5E2-6x%2B2