What is the inverse of f(x)=((x+17))/(x-16) ?

The inverse of f(x)=((x+17))/(x-16) is (17+16x)/(x-1)

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inverse of f(x)=((x+17))/(x-16)

inverse

f (x) = \frac{( x + 17 )}{x - 16}

\frac{17 + 16 x}{x - 1}

Solution steps

y = \frac{x + 17}{x - 16}

Replace

x

with

y

x = \frac{y + 17}{y - 16}

Solve for

y, x = \frac{y + 17}{y - 16}

\frac{17 + 16 x}{x - 1}

- 5 y = 15

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

(5, - 1), (6, - 6)

f (x) = - \frac{9}{2} x - 2

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

What is the inverse of f(x)=((x+17))/(x-16) ?
The inverse of f(x)=((x+17))/(x-16) is (17+16x)/(x-1)