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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

h (x) = - \frac{9 x}{4} - \frac{1}{3}

f (x) = \frac{5 x + 6}{4}

f (x) = 7 15 x + 2

f (x) = \frac{1}{lo g _{x + 1} ( 2 )}

e^{x - 2} + 3

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