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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 50 - 40 x + 15 x^{2}

8 (x + 10)

f (x) = 2 (x - 8)^{2} + 5

f (x) = \frac{5 - 2 x}{( 4 x - 2 )}

2 x^{2} + 7 x - 3

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