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}

f (x) = 2^{x + 4}

f (x) = x^{2} + 5 x - 14

f (x) = 2 x - 1 + 3

\frac{1 + 3 x}{5 - 2 x}

\frac{x ^{8}}{x ^{4} + 7}

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)