What is the inverse of f(x)=(6x+5)/(5x-3) ?

The inverse of f(x)=(6x+5)/(5x-3) is (5+3x)/(5x-6)

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inverse of f(x)=(6x+5)/(5x-3)

inverse

f (x) = \frac{6 x + 5}{5 x - 3}

\frac{5 + 3 x}{5 x - 6}

Solution steps

y = \frac{6 x + 5}{5 x - 3}

Replace

x

with

y

x = \frac{6 y + 5}{5 y - 3}

Solve for

y, x = \frac{6 y + 5}{5 y - 3}

\frac{5 + 3 x}{5 x - 6}

f (x) = \frac{( 10 + 4 x )}{5 x + 6}

f (x) = \frac{2}{3} (4 x - 5)

\frac{7 x ( 3 x ^{2} - 12 x + 5 )}{3 x ^{2}}

y = 6 x - 11

f (x) = 5 - 3 x^{2} x - 3

What is the inverse of f(x)=(6x+5)/(5x-3) ?
The inverse of f(x)=(6x+5)/(5x-3) is (5+3x)/(5x-6)