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

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

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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) (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.
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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
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