What is the inverse of f(x)=(x-12)/(2x+1) ?

The inverse of f(x)=(x-12)/(2x+1) is (-12-x)/(2x-1)

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inverse of f(x)=(x-12)/(2x+1)

inverse

f (x) = \frac{x - 12}{2 x + 1}

\frac{- 12 - x}{2 x - 1}

Solution steps

y = \frac{x - 12}{2 x + 1}

Replace

x

with

y

x = \frac{y - 12}{2 y + 1}

Solve for

y, x = \frac{y - 12}{2 y + 1}

\frac{- 12 - x}{2 x - 1}

f (x) = x^{2} + 12 x - 7

\frac{x + 9}{7 - 4 x}

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

5 + 3 cos (x)

f (x) = e^{8 - x}

What is the inverse of f(x)=(x-12)/(2x+1) ?
The inverse of f(x)=(x-12)/(2x+1) is (-12-x)/(2x-1)