How do you write the inverse function for $f(x)=1/2x+4$ ?

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Answer 1 · 2016-11-18T05:32:00

The answer is $f^(-1)(x)=2(x-4)$

Let $y=x/2+4$

Then, $x/2=y-4$

$y=2(y-4)$

So, $f^(-1)(x)=2(x-4)$

Verification

$f(f^(-1)(x))=f(2(x-4))=1/2*2(x-4)+4=x$

How do you write the inverse function for f(x)=1/2x+4f(x)=1/2x+4?