What is the inverse of f(x)=(4x+1)/(5x-2) ?

The inverse of f(x)=(4x+1)/(5x-2) is (1+2x)/(5x-4)

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inverse of f(x)=(4x+1)/(5x-2)

inverse

f (x) = \frac{4 x + 1}{5 x - 2}

\frac{1 + 2 x}{5 x - 4}

Solution steps

y = \frac{4 x + 1}{5 x - 2}

Replace

x

with

y

x = \frac{4 y + 1}{5 y - 2}

Solve for

y, x = \frac{4 y + 1}{5 y - 2}

\frac{1 + 2 x}{5 x - 4}

- \frac{3}{4} x + 12

72 x^{\frac{1}{2}}

\frac{( 2 x + 9 )}{9 x - 4}

f (x) = - x^{2} + 5, x \geq 0

(x - \frac{1}{4})^{2} + 2

What is the inverse of f(x)=(4x+1)/(5x-2) ?
The inverse of f(x)=(4x+1)/(5x-2) is (1+2x)/(5x-4)