What is the inverse of f(x)=(5x-3)/(x+2) ?

The inverse of f(x)=(5x-3)/(x+2) is (-3-2x)/(x-5)

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inverse of f(x)=(5x-3)/(x+2)

inverse

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

\frac{- 3 - 2 x}{x - 5}

Solution steps

y = \frac{5 x - 3}{x + 2}

Replace

x

with

y

x = \frac{5 y - 3}{y + 2}

Solve for

y, x = \frac{5 y - 3}{y + 2}

\frac{- 3 - 2 x}{x - 5}

y = 3 (x - 4)

f (x) = (x - 6)^{2} + 7

\frac{2 x + 3}{3 x - 1}

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

f (x) = \frac{( 7 - 14 x ) 1}{2}

What is the inverse of f(x)=(5x-3)/(x+2) ?
The inverse of f(x)=(5x-3)/(x+2) is (-3-2x)/(x-5)