SOLUTION: can one of the tutors help me with this question Consider the function f(x)=2x-1 and g(x)=x^2 . For what values of x does f o g(x)= g o f(x)

Question 461074: can one of the tutors help me with this question
Consider the function f(x)=2x-1 and g(x)=x^2 . For what values of x does f o g(x)= g o f(x)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
can one of the tutors help me with this question
Consider the function f(x)=2x-1 and g(x)=x^2 . For what values of x does f o g(x)= g o f(x)
...
f(x)=2x-1
g(x)=x^2
f o g (x)=f[g(x)]=f(x^2)=2x^2-1
g o f (x)=g[f(x)]=g(2x-1)=(2x-1)^2=4x^2-4x+1
set f o g (x)=g o f (x)
2x^2-1=4x^2-4x+1
2x^2-4x+2=0
x^2-2x+1=0
(x-1)^2=0
x=1
ans:
f o g(x)= g o f(x) at x=1
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