Answer:
The inverse function is:
f(x)=√x−2
Explanation:
To find the inverse function of y=f(x) you have to transform the formula to calculate x in terms of y.
y=x2+2
x2=y−2
x=√y−2
Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:
y=√x−2
You have to calculate the domain of the result function.
Here you have the expression under square root sign, so the domain is the set where x−2≥0
x−2≥0⇒x≥2