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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

x^{2} + 3

X^{2} + 4

f (x) = x + 3

y = - 3 x^{2} + 48 x - 195

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

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