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

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 =[tex]\pm[/tex][tex]\sqrt{y+36}[/tex]
Now, to find inverse you can replace x by y, so by replacing x by y, the above equation becomes
y =[tex]\pm\sqrt{x+36}[/tex]
Second option is correct.