What is the inverse of f(x)= x/(x+7)=1-7/(x+7) ?

The inverse of f(x)= x/(x+7)=1-7/(x+7) is -(7x)/(x-1)

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inverse of f(x)= x/(x+7)=1-7/(x+7)

inverse

f (x) = \frac{x}{x + 7} = 1 - \frac{7}{x + 7}

- \frac{7 x}{x - 1}

Solution steps

y = 1 - \frac{7}{x + 7}

Replace

x

with

y

x = 1 - \frac{7}{y + 7}

Solve for

y, x = 1 - \frac{7}{y + 7}

- \frac{7 x}{x - 1}

- 4 cos (x) (3 x + \frac{π}{2})

f (x) = \frac{1}{x + 6}

f (x) = \frac{1}{9} x

f (x) = \frac{4 x}{x - 5}

f (x) = - 1 - 2 x^{3}

What is the inverse of f(x)= x/(x+7)=1-7/(x+7) ?
The inverse of f(x)= x/(x+7)=1-7/(x+7) is -(7x)/(x-1)