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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{2 x + 3}{3 x - 6}

f (x) = 3 e^{x + 1}

h (x) = lo g_{10} (x + 1) - 3

+ 5 x + 4

f (t) = 300 \cdot 4^{t}

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