What is the inverse of f(x)=(4x-7)/(x+5) ?

The inverse of f(x)=(4x-7)/(x+5) is (-7-5x)/(x-4)

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inverse of f(x)=(4x-7)/(x+5)

inverse

f (x) = \frac{4 x - 7}{x + 5}

\frac{- 7 - 5 x}{x - 4}

Solution steps

y = \frac{4 x - 7}{x + 5}

Replace

x

with

y

x = \frac{4 y - 7}{y + 5}

Solve for

y, x = \frac{4 y - 7}{y + 5}

\frac{- 7 - 5 x}{x - 4}

y = \frac{1}{3} x

f (x) = (x + 3) 5 + 9

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

f (x) = 12 x - 4

3 x - 7

What is the inverse of f(x)=(4x-7)/(x+5) ?
The inverse of f(x)=(4x-7)/(x+5) is (-7-5x)/(x-4)