What is the inverse of f(x)=(66x+2)/(22x-5) ?

The inverse of f(x)=(66x+2)/(22x-5) is (2+5x)/(22(-3+x))

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inverse of f(x)=(66x+2)/(22x-5)

inverse

f (x) = \frac{66 x + 2}{22 x - 5}

\frac{2 + 5 x}{22 ( - 3 + x )}

Solution steps

y = \frac{66 x + 2}{22 x - 5}

Replace

x

with

y

x = \frac{66 y + 2}{22 y - 5}

Solve for

y, x = \frac{66 y + 2}{22 y - 5}

\frac{2 + 5 x}{22 ( - 3 + x )}

What is the inverse of f(x)=(66x+2)/(22x-5) ?
The inverse of f(x)=(66x+2)/(22x-5) is (2+5x)/(22(-3+x))