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}

arcsin (0.3)

- x - 8

8 x - 1

8 x - 9

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)