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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

5 - x + 25

f (x) = - 2 x^{2} + 8 x + 7

f (x) = x^{2} (x - 3)

f (x) = - 3^{x}

f (x) = 2 x + 8

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