What is the inverse of f(x)=((13x+2))/((3x-7)) ?

The inverse of f(x)=((13x+2))/((3x-7)) is (2+7x)/(3x-13)

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inverse of f(x)=((13x+2))/((3x-7))

inverse

f (x) = \frac{( 13 x + 2 )}{( 3 x - 7 )}

\frac{2 + 7 x}{3 x - 13}

Solution steps

y = \frac{13 x + 2}{3 x - 7}

Replace

x

with

y

x = \frac{13 y + 2}{3 y - 7}

Solve for

y, x = \frac{13 y + 2}{3 y - 7}

\frac{2 + 7 x}{3 x - 13}

What is the inverse of f(x)=((13x+2))/((3x-7)) ?
The inverse of f(x)=((13x+2))/((3x-7)) is (2+7x)/(3x-13)