What is the inverse of f(x)=(5x+2)/(3x-1) ?

The inverse of f(x)=(5x+2)/(3x-1) is (2+x)/(3x-5)

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inverse of f(x)=(5x+2)/(3x-1)

inverse

f (x) = \frac{5 x + 2}{3 x - 1}

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

Solution steps

y = \frac{5 x + 2}{3 x - 1}

Replace

x

with

y

x = \frac{5 y + 2}{3 y - 1}

Solve for

y, x = \frac{5 y + 2}{3 y - 1}

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

+ x^{3} - 5

3 x^{2} - 12 x + 10

x - \frac{5}{2}

f (x) = 4 + 2 x

g (x) = \frac{6}{x} + 2

What is the inverse of f(x)=(5x+2)/(3x-1) ?
The inverse of f(x)=(5x+2)/(3x-1) is (2+x)/(3x-5)