What is the inverse of f(x)=(-2x+2)/(x+7) ?

The inverse of f(x)=(-2x+2)/(x+7) is (2-7x)/(x+2)

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inverse of f(x)=(-2x+2)/(x+7)

inverse

f (x) = \frac{- 2 x + 2}{x + 7}

\frac{2 - 7 x}{x + 2}

Solution steps

y = \frac{- 2 x + 2}{x + 7}

Replace

x

with

y

x = \frac{- 2 y + 2}{y + 7}

Solve for

y, x = \frac{- 2 y + 2}{y + 7}

\frac{2 - 7 x}{x + 2}

f (x) = \frac{x ^{2}}{2} + \frac{1}{x}

f (x) = - 5 x + 2

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

y = 9 - X^{2}

f (x) = \frac{12 - x - x ^{2}}{∣ x - 3 ∣}

What is the inverse of f(x)=(-2x+2)/(x+7) ?
The inverse of f(x)=(-2x+2)/(x+7) is (2-7x)/(x+2)