What is the inverse of f(x)=(2x+3)/(3x-7) ?

The inverse of f(x)=(2x+3)/(3x-7) is (3+7x)/(3x-2)

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inverse of f(x)=(2x+3)/(3x-7)

inverse

f (x) = \frac{2 x + 3}{3 x - 7}

\frac{3 + 7 x}{3 x - 2}

Solution steps

y = \frac{2 x + 3}{3 x - 7}

Replace

x

with

y

x = \frac{2 y + 3}{3 y - 7}

Solve for

y, x = \frac{2 y + 3}{3 y - 7}

\frac{3 + 7 x}{3 x - 2}

cos (0)

f (x) = ln (3 x - 8) - ln (x) + 2

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

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

x^{2} - 3 x - 4

What is the inverse of f(x)=(2x+3)/(3x-7) ?
The inverse of f(x)=(2x+3)/(3x-7) is (3+7x)/(3x-2)