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Which equation is the inverse of. y = 100 – x2?

Please explain

User Volkovs
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2 Answers

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In order to find the inverse equation, we need to first switch the x and y portions of the formula. Since we are presented with what y is equal to, we will then just solve for y again after the inverse is applied. So, switching the letters results in x = 100 - y2. Now solve for y. First, apply (-x) and (-y2) to each side. This results in y2 = 100 - x. To get rid of the square, apply the square root to each side. This results in the answer: y = 10 - sqrt(x), where sqrt is square root (something not available on the keyboard).
User Danny Lo
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7.6k points
0 votes

Answer:


y =√( 100-x)

Explanation:

Given :
y = 100-x^2

To Find: inverse

Solution:


y = 100-x^2

Replace x with y and y with x


x = 100-y^2

Now find the value of y


y^2 = 100-x


y =√( 100-x)

Thus the inverse is
y =√( 100-x)

Hence the inverse of
y = 100-x^2 is
y =√( 100-x)

User Heathobrien
by
9.0k points

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