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

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

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

inverse

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

\frac{2 x}{x - 3}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{2 x}{x - 3}

f (x) = 1 - 2 sin (x)

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

f (x) = 4 x + 3 + 7

2 x + 3

f (x) = x^{4} - 3 x^{2}

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