What is the inverse of f(x)=(x+12)/(x-4) ?

The inverse of f(x)=(x+12)/(x-4) is (12+4x)/(x-1)

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inverse of f(x)=(x+12)/(x-4)

inverse

f (x) = \frac{x + 12}{x - 4}

\frac{12 + 4 x}{x - 1}

Solution steps

y = \frac{x + 12}{x - 4}

Replace

x

with

y

x = \frac{y + 12}{y - 4}

Solve for

y, x = \frac{y + 12}{y - 4}

\frac{12 + 4 x}{x - 1}

f (x) = \frac{1}{x + 7}

- 3 \cdot 2^{x - 5} + 5

\frac{5}{x - 2}

f (x) = \frac{6}{x} + 2

f (x) = \frac{5 e ^{x} + 5 e ^{- x}}{2}

What is the inverse of f(x)=(x+12)/(x-4) ?
The inverse of f(x)=(x+12)/(x-4) is (12+4x)/(x-1)