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malfutka [58]
3 years ago
8

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

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0

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.

Ad libitum [116K]3 years ago
5 0
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 
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