Question

Which equation is the inverse of y = x2 – 36?

Answer 1

Answer: Option B

Answer:

The given equation of the curve is

y= x² - 36

To find it's inverse we have to convert y in terms of x.

So, adding 36 to both sides of equation

→ y + 36=x² -36 + 36

→ y + 36 = x²

→ x² = y+ 36

→ x =

Now, to find inverse you can replace x by y, so by replacing x by y, the above equation becomes

y =

Option B is correct.

Answer 2

We find the inverse of equation y=x2-36 by solving for y and replace with variable x. Solving this, we transpose -36 to opposite side. Equation will now be y+36=x2, then we get the square root of y+36. We now have the missing inverse equation which is f−1(x)= sqrt (y+36), - sqrt (y+36).