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}

y + 4 = 10 (x + 1)

f (x) = \frac{x}{x + 2}

5

7 + \frac{2}{x}

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)