What is the inverse of f(x)=(6x+13)/(5x-12) ?

The inverse of f(x)=(6x+13)/(5x-12) is (13+12x)/(5x-6)

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inverse of f(x)=(6x+13)/(5x-12)

inverse

f (x) = \frac{6 x + 13}{5 x - 12}

\frac{13 + 12 x}{5 x - 6}

Solution steps

y = \frac{6 x + 13}{5 x - 12}

Replace

x

with

y

x = \frac{6 y + 13}{5 y - 12}

Solve for

y, x = \frac{6 y + 13}{5 y - 12}

\frac{13 + 12 x}{5 x - 6}

f (x) = 3^{2 x + 1} - 4

x - 11

f (x) = 60 - 4.9 x^{2}

\frac{1}{x ^{2} + 1}

12 x + 4

What is the inverse of f(x)=(6x+13)/(5x-12) ?
The inverse of f(x)=(6x+13)/(5x-12) is (13+12x)/(5x-6)