What is the inverse of f(x)=-2(x+1)(x+5) ?

The inverse of f(x)=-2(x+1)(x+5) is -(12+sqrt(-8x+64))/4 ,-(12-sqrt(-8x+64))/4

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inverse of f(x)=-2(x+1)(x+5)

inverse

f (x) = - 2 (x + 1) (x + 5)

- \frac{12 + - 8 x + 64}{4}, - \frac{12 - - 8 x + 64}{4}

Solution steps

y = - 2 (x + 1) (x + 5)

Replace

x

with

y

x = - 2 (y + 1) (y + 5)

Solve for

y, x = - 2 (y + 1) (y + 5)

- \frac{12 + - 8 x + 64}{4}, - \frac{12 - - 8 x + 64}{4}

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

f (x) = (x - 1)^{3} + 8

f (x) = \frac{9 x}{3 - x}

f (x) = \frac{3 x + 8}{2 - 7 x}

f (x) = \frac{3}{8 x + 5}

What is the inverse of f(x)=-2(x+1)(x+5) ?
The inverse of f(x)=-2(x+1)(x+5) is -(12+sqrt(-8x+64))/4 ,-(12-sqrt(-8x+64))/4