What is the inverse of f(x)=(5x-3)/(7x-2) ?

The inverse of f(x)=(5x-3)/(7x-2) is (-3+2x)/(7x-5)

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inverse of f(x)=(5x-3)/(7x-2)

inverse

f (x) = \frac{5 x - 3}{7 x - 2}

\frac{- 3 + 2 x}{7 x - 5}

Solution steps

y = \frac{5 x - 3}{7 x - 2}

Replace

x

with

y

x = \frac{5 y - 3}{7 y - 2}

Solve for

y, x = \frac{5 y - 3}{7 y - 2}

\frac{- 3 + 2 x}{7 x - 5}

f (x) = e^{- (x - 8)}

\frac{6 x}{x ^{2} + 4}

f (x) = \frac{2 x - 3}{4}

y = - 2 x - 1

f (x) = ln (7 - 6 x^{2})

What is the inverse of f(x)=(5x-3)/(7x-2) ?
The inverse of f(x)=(5x-3)/(7x-2) is (-3+2x)/(7x-5)