# What is the inverse operation of a quantity to the 2nd power?

### 7 Answers

- D gLv 74 months ago
You can use exponential rule to figure it out

(F^2)^x= f ^(2x)

You can then find when the exponent = 1

2x =1

X= 1/2

- PopeLv 74 months ago
You are asking for the inverse function of x². That function is not injective, so it cannot have an inverse.

Given x², the inverse function, if it existed, would return a unique x. That is possible only if x² = 0.

- ?Lv 74 months ago
f(x) = x²

// Find the inverse f⁻¹(x):

STEP 1. Rename f(x) to y: y = x²

STEP 2. Swap variables: x = y²

STEP 3. Solve for y: y = ±√x

STEP 4. Rename y to f⁻¹(x): f⁻¹(x) = ±√x

The inverse operation of taking the square of a quantity is taking the square root of the quantity.

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- Anonymous4 months ago
x^2 and 1/x^2 maybe

- Keith ALv 64 months ago
It is not at all clear what the question means.

What is an "operation of a quantity";

and what does the second power apply to?