What is the inverse of f(x)=(x-5)/(6-2x) ?

The inverse of f(x)=(x-5)/(6-2x) is -(-5-6x)/(1+2x)

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inverse of f(x)=(x-5)/(6-2x)

inverse

f (x) = \frac{x - 5}{6 - 2 x}

- \frac{- 5 - 6 x}{1 + 2 x}

Solution steps

y = \frac{x - 5}{6 - 2 x}

Replace

x

with

y

x = \frac{y - 5}{6 - 2 y}

Solve for

y, x = \frac{y - 5}{6 - 2 y}

- \frac{- 5 - 6 x}{1 + 2 x}

5 x + 1

21 x^{2} - 26 x

f (x) = - 2 x^{2} + 2 \cdot x + 4

100 \cdot 2^{\frac{x}{2}}

\frac{5 x + 2}{3}

What is the inverse of f(x)=(x-5)/(6-2x) ?
The inverse of f(x)=(x-5)/(6-2x) is -(-5-6x)/(1+2x)