What is the inverse of f(x)=(2x+5)/(3x-4) ?

The inverse of f(x)=(2x+5)/(3x-4) is (5+4x)/(3x-2)

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inverse of f(x)=(2x+5)/(3x-4)

inverse

f (x) = \frac{2 x + 5}{3 x - 4}

\frac{5 + 4 x}{3 x - 2}

Solution steps

y = \frac{2 x + 5}{3 x - 4}

Replace

x

with

y

x = \frac{2 y + 5}{3 y - 4}

Solve for

y, x = \frac{2 y + 5}{3 y - 4}

\frac{5 + 4 x}{3 x - 2}

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

f (x) = e^{x + 4} + 3

5 x - 7

\frac{x + 9}{x - 2}

- \frac{1}{2} x + 10

What is the inverse of f(x)=(2x+5)/(3x-4) ?
The inverse of f(x)=(2x+5)/(3x-4) is (5+4x)/(3x-2)