What is the inverse of f(x)=(6x)/(x-3),x\ne 3 ?

The inverse of f(x)=(6x)/(x-3),x\ne 3 is (3x)/(x-6)

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inverse of f(x)=(6x)/(x-3),x\ne 3

inverse

f (x) = \frac{6 x}{x - 3}, x \neq = 3

\frac{3 x}{x - 6}

Solution steps

y = \frac{6 x}{x - 3}

Replace

x

with

y

x = \frac{6 y}{y - 3}

Solve for

y, x = \frac{6 y}{y - 3}

\frac{3 x}{x - 6}

y = 43 x + 2

f (x) = 1.35 x + 114 - 2.85 x

sin (o)

lo g_{1.5} (x)

What is the inverse of f(x)=(6x)/(x-3),x\ne 3 ?
The inverse of f(x)=(6x)/(x-3),x\ne 3 is (3x)/(x-6)