What is the inverse of f(x)=((5x-3))/(x-1) ?

The inverse of f(x)=((5x-3))/(x-1) is (-3+x)/(x-5)

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inverse of f(x)=((5x-3))/(x-1)

inverse

f (x) = \frac{( 5 x - 3 )}{x - 1}

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

Solution steps

y = \frac{5 x - 3}{x - 1}

Replace

x

with

y

x = \frac{5 y - 3}{y - 1}

Solve for

y, x = \frac{5 y - 3}{y - 1}

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

f (x) = 762.75 + 203.4 x

f (x) = \frac{x}{9 x - 5}

6 x + x + 37

f (x) = - tan (x + 6) - 5

(x + 8)^{5}

What is the inverse of f(x)=((5x-3))/(x-1) ?
The inverse of f(x)=((5x-3))/(x-1) is (-3+x)/(x-5)