What is the inverse of f(x)=(4x-9)/(x-4) ?

The inverse of f(x)=(4x-9)/(x-4) is (-9+4x)/(x-4)

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inverse of f(x)=(4x-9)/(x-4)

inverse

f (x) = \frac{4 x - 9}{x - 4}

\frac{- 9 + 4 x}{x - 4}

Solution steps

y = \frac{4 x - 9}{x - 4}

Replace

x

with

y

x = \frac{4 y - 9}{y - 4}

Solve for

y, x = \frac{4 y - 9}{y - 4}

\frac{- 9 + 4 x}{x - 4}

- x^{2} - 3

f (x) = s^{2}

(y + 3)^{2}

y = x^{2} e^{- 3 x}

f (x) = \frac{11}{\frac{6}{x} - 1}

What is the inverse of f(x)=(4x-9)/(x-4) ?
The inverse of f(x)=(4x-9)/(x-4) is (-9+4x)/(x-4)