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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 11 x^{4} cot (x)

(- 1, \frac{1}{20}), (2, \frac{16}{5})

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

f (x) = \frac{x}{x ^{- 1}}

y = \frac{1}{x ^{2} + 1}

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