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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 2 π r^{2} + 8 π r^{4} = 2 π r^{2} + 8 π r

2 - x + 9

g (x) = \frac{5}{x - 3} + 6

f (x) = \frac{3}{4} π r^{3}

f (x) = 0.2 lo g_{7} (3 x + 2) - 9

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