SOLUTION: Hi could you help me with this? Find the inverse of y=sqrtx+9. Is the inverse a function? Thank you

Question 126726: Hi
could you help me with this?
Find the inverse of y=sqrtx+9. Is the inverse a function?
Thank you
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Find the inverse of:
This could be written as:
To find the inverse of a function, interchange the x and y and solve for y.
Now solve for y by subtracting 9 from both sides.
Square both sides.
Simplify.
Now replace the y with :
This is the inverse function of . And...yes, the inverse is a function!
To verify this, use the following rule:
In this case:
Replace every x with and simplify:
Simplify.
Combine like-terms.
=
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