What is the inverse of f(x)=(-2(x-4)+15)/(x-4) ?

The inverse of f(x)=(-2(x-4)+15)/(x-4) is (23+4x)/(x+2)

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inverse of f(x)=(-2(x-4)+15)/(x-4)

inverse

f (x) = \frac{- 2 ( x - 4 ) + 15}{x - 4}

\frac{23 + 4 x}{x + 2}

Solution steps

y = \frac{- 2 ( x - 4 ) + 15}{x - 4}

Replace

x

with

y

x = \frac{- 2 ( y - 4 ) + 15}{y - 4}

Solve for

y, x = \frac{- 2 ( y - 4 ) + 15}{y - 4}

\frac{23 + 4 x}{x + 2}

What is the inverse of f(x)=(-2(x-4)+15)/(x-4) ?
The inverse of f(x)=(-2(x-4)+15)/(x-4) is (23+4x)/(x+2)