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

The inverse of f(x)=((x+2))/(x+3) is (2-3x)/(x-1)

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

inverse

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

\frac{2 - 3 x}{x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{2 - 3 x}{x - 1}

x^{4} + x^{2} + 3

f (x) = \frac{1 + 9 x}{4 - x}

y = \frac{e ^{x}}{1 + 8 e ^{x}}

f (x) = ln (16 x + e)

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

What is the inverse of f(x)=((x+2))/(x+3) ?
The inverse of f(x)=((x+2))/(x+3) is (2-3x)/(x-1)