What is the inverse of f(x)=((12x+7))/((13x-6)) ?

The inverse of f(x)=((12x+7))/((13x-6)) is (7+6x)/(13x-12)

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inverse of f(x)=((12x+7))/((13x-6))

inverse

f (x) = \frac{( 12 x + 7 )}{( 13 x - 6 )}

\frac{7 + 6 x}{13 x - 12}

Solution steps

y = \frac{12 x + 7}{13 x - 6}

Replace

x

with

y

x = \frac{12 y + 7}{13 y - 6}

Solve for

y, x = \frac{12 y + 7}{13 y - 6}

\frac{7 + 6 x}{13 x - 12}

What is the inverse of f(x)=((12x+7))/((13x-6)) ?
The inverse of f(x)=((12x+7))/((13x-6)) is (7+6x)/(13x-12)