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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

tan (\frac{3}{3})

f (x) = (5 x + 1) - 7

- ln (2 - 3 x)

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