SOLUTION: f(x)= 2x-3, g(x) = x^2-3x+2 Find f(g(x)) and g(f(x)). Also state the domain

Algebra ->  Functions -> SOLUTION: f(x)= 2x-3, g(x) = x^2-3x+2 Find f(g(x)) and g(f(x)). Also state the domain      Log On


   

Question 1095011: f(x)= 2x-3, g(x) = x^2-3x+2
Find f(g(x)) and g(f(x)). Also state the domain
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
f(g(x)=2(x^2-3x+2)-3=2x^2-6x+4-3
=2x^2-6x+1. Domain is all real numbers for x.
===============
g(f(x)=(2x-3)^2-3(2x-3)+2= 4x^2-12x+9-6x+9+2
=4x^2-18x+20. Domain is all real numbers for x