if f(g(x))=x and f(x)= 3x-4, find g(x)

if f(g(x))=x and f(x)= 3x-4, find g(x)

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to find the inverse function,
let y=g(x)
f(y)=x
3y-4= x
rearrange to find y and voila ! you get g(x)

Notice that
\[f(g(x))=x=f(f^{-1}(x))\]
thus
\[g(x) = f^{-1}(x)\]

@stevench got it ?

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