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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{3 y + 2}{y - 1}

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

f (x) = \frac{1}{2} lo g_{10} (2 x)

f (x) = \frac{2 x + 4}{5}

e^{x} - 1

f (x) = 4 x + 25

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

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