SOLUTION: f(x)=3x+2 g(x)=(x-2)/3 1) find [f(g(x))]. show steps. 2) find [g(f(x))]. show steps.

Question 37067: f(x)=3x+2
g(x)=(x-2)/3
1) find [f(g(x))]. show steps.
2) find [g(f(x))]. show steps.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
f(x)=3x+2=Y SAY
g(x)=(x-2)/3=Z SAY
1) find [f(g(x))]. show steps.
WE HAVE TO FIND F(Z)=3Z+2=3{(X-2)}/3 + 2=X-2+2=X
2) find [g(f(x))]. show steps.
WE HAVE TO FIND G(Y)=(Y-2)/3={3X+2-2}/3=3X/3=X
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