What is the inverse of f(x)=((2x+4))/((x-1)) ?

The inverse of f(x)=((2x+4))/((x-1)) is (4+x)/(x-2)

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inverse of f(x)=((2x+4))/((x-1))

inverse

f (x) = \frac{( 2 x + 4 )}{( x - 1 )}

\frac{4 + x}{x - 2}

Solution steps

y = \frac{2 x + 4}{x - 1}

Replace

x

with

y

x = \frac{2 y + 4}{y - 1}

Solve for

y, x = \frac{2 y + 4}{y - 1}

\frac{4 + x}{x - 2}

f (x) = - \frac{4 x - 3}{x}

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

f (x) = \frac{x - 2}{2 x + 8}

y = e^{1 - x}

y = \frac{x}{6} + 2

What is the inverse of f(x)=((2x+4))/((x-1)) ?
The inverse of f(x)=((2x+4))/((x-1)) is (4+x)/(x-2)