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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

cos (6 x)

3 x + \frac{5}{2}

f (x) = 5 - 7 x^{3}

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

x - 5

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