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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{2 x + 5}{- 3 x + 1}

cot (21 π)

\frac{1}{x + 11}

f (x) = x^{2} + 12 x

f (x) = \frac{x ^{7}}{7}

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