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Algebra/Precalculus

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How can I verify that f(x)=(x+3)/(x-2)and g(x)=(2x+3)/(x-1)are inverse functions (i.e. show the process)?

Also, how can I solve (g o f)^-1, if f(x)=x+4 and g(x)=2x-5?
Thanks!

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