What is the inverse of f(x)= 1/(2x+1)-4 ?

The inverse of f(x)= 1/(2x+1)-4 is (-x-3)/(2(4+x))

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inverse of f(x)= 1/(2x+1)-4

inverse

f (x) = \frac{1}{2 x + 1} - 4

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

Solution steps

y = \frac{1}{2 x + 1} - 4

Replace

x

with

y

x = \frac{1}{2 y + 1} - 4

Solve for

y, x = \frac{1}{2 y + 1} - 4

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

f (x) = - e^{x - 3} - 5

y = (\frac{1 - x}{1 + x})^{2}, - 1 < x \leq 1

f (x) = 24 - 2 x

f (x) = - 6 (x - 2)^{2}

g (x) = 7 x - 5

What is the inverse of f(x)= 1/(2x+1)-4 ?
The inverse of f(x)= 1/(2x+1)-4 is (-x-3)/(2(4+x))