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

The inverse of f(x)=-2(x-1)^2 is sqrt(-x/2)+1,-sqrt(-x/2)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=-2(x-1)^2

inverse

f (x) = - 2 (x - 1)^{2}

- \frac{x}{2} + 1, - - \frac{x}{2} + 1

Solution steps

y = - 2 (x - 1)^{2}

Replace

x

with

y

x = - 2 (y - 1)^{2}

Solve for

y, x = - 2 (y - 1)^{2}

- \frac{x}{2} + 1, - - \frac{x}{2} + 1

- 5 x + 1

- 5 x + 0

f (x) = tan (x + \frac{π}{2}) - 1

f (x) = (x + 4)^{2} + 8

- x + 8

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