What is the inverse of f(x)=(13x+17)/(12x-18) ?

The inverse of f(x)=(13x+17)/(12x-18) is (17+18x)/(12x-13)

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inverse of f(x)=(13x+17)/(12x-18)

inverse

f (x) = \frac{13 x + 17}{12 x - 18}

\frac{17 + 18 x}{12 x - 13}

Solution steps

y = \frac{13 x + 17}{12 x - 18}

Replace

x

with

y

x = \frac{13 y + 17}{12 y - 18}

Solve for

y, x = \frac{13 y + 17}{12 y - 18}

\frac{17 + 18 x}{12 x - 13}

y = x + 8

f (x) = 6 x + 24

f (x) = 7 b + x + 49 b^{2}

f (x) = \frac{2 x + 3}{4 - x}

What is the inverse of f(x)=(13x+17)/(12x-18) ?
The inverse of f(x)=(13x+17)/(12x-18) is (17+18x)/(12x-13)