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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{3 x + 1}{- 3 x + 5}

f (x) = (\frac{5 x}{9}) - (\frac{160}{9})

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

f (x) = 2 - 5 x - 3 - 2

f (x) = \frac{13}{x} + 7

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