What is the inverse of f(x)=(x+16)/(x-4) ?

The inverse of f(x)=(x+16)/(x-4) is (16+4x)/(x-1)

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inverse of f(x)=(x+16)/(x-4)

inverse

f (x) = \frac{x + 16}{x - 4}

\frac{16 + 4 x}{x - 1}

Solution steps

y = \frac{x + 16}{x - 4}

Replace

x

with

y

x = \frac{y + 16}{y - 4}

Solve for

y, x = \frac{y + 16}{y - 4}

\frac{16 + 4 x}{x - 1}

- x^{2} + 6

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

\frac{9 x - 3}{x - 1}

7 - 6 cos (θ)

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

What is the inverse of f(x)=(x+16)/(x-4) ?
The inverse of f(x)=(x+16)/(x-4) is (16+4x)/(x-1)