What’s the inverse of y= 100 - x^2

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)

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)

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.