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Answer:
The inverse will be:
Step-by-step explanation:
In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :
Now solve for y'.
First add 4 in both sides of the equation and change to the left y'.
= x + 4
Second divide by 9
/9 = (x + 4)/9
= (x + 4)/9
Now you will have to clear y, with the square root.
[/tex] =
Simplifying terms
You can check the answer by doing the evaluation of the following equation:
(f o ) (x)
substitute the equation for y' or inverse function
f()
Now substitue the value into f(x)
You will have
=x
and
both have a common denominator, so you can combine them into a single fraction:
You cannot simplify this fraction further:
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