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

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  • D g
    Lv 7
    4 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

  • 4 months ago

    y = x^2 hence x = y^(1/2) ;that is the 'square root' of 'y'.

  • Pope
    Lv 7
    4 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 7
    4 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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  • Anonymous
    4 months ago

    x^2 and 1/x^2 maybe

  • 4 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?

  • 4 months ago

    suppose y=x^2

    if x>=0 then x=y^0.5

    if x<0 then x=-y^0.5

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