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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

(x + 1)^{2} - 4

\frac{1}{3 x + 2}

f (x) = lo g_{10} (2)

2 (3 x + 1) + 4

f (x) = 21 x^{3} - 28

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