What is the inverse of f(x)=(5x-6)/(2x+1) ?

The inverse of f(x)=(5x-6)/(2x+1) is (-6-x)/(2x-5)

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inverse of f(x)=(5x-6)/(2x+1)

inverse

f (x) = \frac{5 x - 6}{2 x + 1}

\frac{- 6 - x}{2 x - 5}

Solution steps

y = \frac{5 x - 6}{2 x + 1}

Replace

x

with

y

x = \frac{5 y - 6}{2 y + 1}

Solve for

y, x = \frac{5 y - 6}{2 y + 1}

\frac{- 6 - x}{2 x - 5}

f (x) = \frac{x}{3}

x^{2} + 3 x + 7

f (x) = \frac{1}{2} x - \frac{3}{2}

f (x) = \frac{4 - x ^{2}}{x ^{2} - 1}

y = 2 x - 6

What is the inverse of f(x)=(5x-6)/(2x+1) ?
The inverse of f(x)=(5x-6)/(2x+1) is (-6-x)/(2x-5)