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}

d x

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

f (x) = 7 x^{2} ln (\frac{x}{4})

f (x) = \frac{8}{4 - x}

4 x^{2}

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)