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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

3 x^{2} - x

3 x^{2} - 4

g (x) = 3 x - 2

- 3 x + 9

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