What is the inverse of f(x)=((x+4))/(x-7) ?

The inverse of f(x)=((x+4))/(x-7) is (4+7x)/(x-1)

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inverse of f(x)=((x+4))/(x-7)

inverse

f (x) = \frac{( x + 4 )}{x - 7}

\frac{4 + 7 x}{x - 1}

Solution steps

y = \frac{x + 4}{x - 7}

Replace

x

with

y

x = \frac{y + 4}{y - 7}

Solve for

y, x = \frac{y + 4}{y - 7}

\frac{4 + 7 x}{x - 1}

f (x) = arctan (- 3)

f (x) = \frac{3 x + 1}{5 - 2 x}

f (x) = e^{- x} + 1

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

f (x) = 2^{2^{x}}

What is the inverse of f(x)=((x+4))/(x-7) ?
The inverse of f(x)=((x+4))/(x-7) is (4+7x)/(x-1)