Question

Which equation is the inverse of y = 100-x²?

Oy=± √100-x

O y=10± √√x

Oy=100+√x

Oy=+√x-100

Answer 1

y = ±√100-x

Explanation:

To work out the inverse of this function :

We solve for x then swap x and y :

Solving for x :

y = 100 - x²

Add x² to both sides :

x² + y = 100

Subtract y from both sides :

x² = 100-y

Square root both sides :

x = ±√100-y

Now we have solved for x. Now swap x and y :

y = ±√100-x

This is our final answer and is the first option.

Hope this helped and have a good day