Question

which equation is the inverse of y=x^2-36

Answer 1

for these kinds of questions you should first solve for x:
y +36 = x^2 ⇒ √y+36 = x 
now the inverse of this equation is:
√x + 36 = y :)))
i hope this is helpful
have a nice day 

Answer 2

Answer:

$y=\sqrt{x+36}$

Step-by-step explanation:

Since, for finding the inverse of a function f(x) we follow the following steps,

Step 1 : Replace f(x) by y,

Step 2 : Interchange x and y,

Step 3 : isolate y in the left side,

Step 4 : Replace y by $f^{-1}(x)$

Given equation is,

$y=x^2-36$

Here, we do not need to apply step 1 and step 4,

Now, Interchange x and y,

$x=y^2-36$

$-y^2=-x-36$

$y^2=x+36$

Taking square root both sides,

$y=\sqrt{x+36}$

Which is the required equation of inverse of the given equation.