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}

h (x) = (x + 1)^{3} + 3

f (x) = 2 ∣ x ∣ - 3

\frac{7}{x + 2}

f (x) = 5 x

\frac{x ^{12}}{x ^{- 2}}

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)