What is the inverse of f(x)=((x+6))/((x-7)) ?

The inverse of f(x)=((x+6))/((x-7)) is (6+7x)/(x-1)

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inverse of f(x)=((x+6))/((x-7))

inverse

f (x) = \frac{( x + 6 )}{( x - 7 )}

\frac{6 + 7 x}{x - 1}

Solution steps

y = \frac{x + 6}{x - 7}

Replace

x

with

y

x = \frac{y + 6}{y - 7}

Solve for

y, x = \frac{y + 6}{y - 7}

\frac{6 + 7 x}{x - 1}

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

f (x) = \frac{3 x + 4}{2 - x}

- 2 x + 1 - 4

y = \frac{2 ^{x}}{3 + 2 ^{x}}

What is the inverse of f(x)=((x+6))/((x-7)) ?
The inverse of f(x)=((x+6))/((x-7)) is (6+7x)/(x-1)