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11 June, 00:56

What's the inverse of y = 100 - x^2

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Answers (2)
  1. 11 June, 03:58
    0
    The inverse is ±sqrt (100-x)

    Step-by-step explanation:

    y = 100 - x^2

    Exchange x and y

    x = 100 - y^2

    Solve for y

    Subtract 100 from each side

    x-100 = 100-100-y^2

    x-100 = - y^2

    Multiply by - 1

    -x+100 = y^2

    100 - x = y^2

    Take the square root of each side

    ±sqrt (100-x) = sqrt (y^2)

    ±sqrt (100-x) = y

    The inverse is ±sqrt (100-x)
  2. 11 June, 04:00
    0
    y = ±√ (100 - x)

    Step-by-step explanation:

    Given: y = 100 - x²

    To find the inverse, we have to rearrange the equation such that we express x in terms of y.

    y = 100 - x² (add x² to both sides)

    y + x² = 100 (subtract y from both sides)

    x² = 100 - y

    x = ±√ (100 - y) (final step: swap x and y terms)

    y = ±√ (100 - x) (answer)
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