What is the inverse of f(x)=(5x-2)/(x-2) ?

The inverse of f(x)=(5x-2)/(x-2) is (-2+2x)/(x-5)

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inverse of f(x)=(5x-2)/(x-2)

inverse

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

\frac{- 2 + 2 x}{x - 5}

Solution steps

y = \frac{5 x - 2}{x - 2}

Replace

x

with

y

x = \frac{5 y - 2}{y - 2}

Solve for

y, x = \frac{5 y - 2}{y - 2}

\frac{- 2 + 2 x}{x - 5}

f (x) = \frac{x}{8} + 14

sin (\frac{θ}{2})

f (x) = 3 x^{2} + 4 x + 1

f (x) = x^{2} + 10 x + 16

f (x) = \frac{( 2 x - 3 )}{x}

What is the inverse of f(x)=(5x-2)/(x-2) ?
The inverse of f(x)=(5x-2)/(x-2) is (-2+2x)/(x-5)