What is the inverse of (x-1)(x+4) ?

The inverse of (x-1)(x+4) is (-3+sqrt(4x+25))/2 ,(-3-sqrt(4x+25))/2

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inverse of (x-1)(x+4)

inverse

(x - 1) (x + 4)

\frac{- 3 + 4 x + 25}{2}, \frac{- 3 - 4 x + 25}{2}

Solution steps

y = (x - 1) (x + 4)

Replace

x

with

y

x = (y - 1) (y + 4)

Solve for

y, x = (y - 1) (y + 4)

\frac{- 3 + 4 x + 25}{2}, \frac{- 3 - 4 x + 25}{2}

f (x) = \frac{3 x - 2}{4 x - 1}

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

f (x) = \frac{9}{12 - x}

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

y = (x + 5)^{\frac{1}{2}}

What is the inverse of (x-1)(x+4) ?
The inverse of (x-1)(x+4) is (-3+sqrt(4x+25))/2 ,(-3-sqrt(4x+25))/2