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{7}{6 x + 1}

f (x) = - 2^{x + 1} - 3

x 9 - x^{2}

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

y = \frac{4}{x + 2} + 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)