## sakigirl 2 years ago Is h(x)=x^2 the inverse of g(x)=sqrt x ?

1. sakigirl

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2. AravindG

yep!

3. sakigirl

Can you explain? :) @AravindG

4. AravindG

put $y=\sqrt{x}$ then x=$$\sqrt{y}$$

5. AravindG

hence $\sqrt{x}$ is the inverse!

6. AravindG

you can also try this: check goh=x

7. sakigirl

How is x=√y prove that x^2 is the inverse?

8. AravindG

well if y is given in terms of x x in terms of y is the inverse

9. sakigirl

This may sound like a dumb question, but the y turns back into an x, making root y into a root x making it x^2?

10. AravindG

yep that is because we always report a function in the form y=something

11. sakigirl

@AravindG Thanks!

12. AravindG

yw :)

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