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Kyson Sheppard
Mathematics
25 November, 11:10
What's the inverse of y = 100 - x^2
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Mia Little
25 November, 11:22
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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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Toots
25 November, 11:25
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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)
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