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}

f (x) = \frac{6 x ^{2} + 1}{2 x ^{2} + x - 1}

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

(0, - 3), (9, 6)

f (x) = \frac{( 5 x + 3 )}{- x + 10}

f (x) = \frac{11}{5} x + 6

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)