What is the inverse of f(x)=((5x-6))/((2x-2)) ?

The inverse of f(x)=((5x-6))/((2x-2)) is (-6+2x)/(2x-5)

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inverse of f(x)=((5x-6))/((2x-2))

inverse

f (x) = \frac{( 5 x - 6 )}{( 2 x - 2 )}

\frac{- 6 + 2 x}{2 x - 5}

Solution steps

y = \frac{5 x - 6}{2 x - 2}

Replace

x

with

y

x = \frac{5 y - 6}{2 y - 2}

Solve for

y, x = \frac{5 y - 6}{2 y - 2}

\frac{- 6 + 2 x}{2 x - 5}

What is the inverse of f(x)=((5x-6))/((2x-2)) ?
The inverse of f(x)=((5x-6))/((2x-2)) is (-6+2x)/(2x-5)