Question 1199856
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Find the inverse function of f(x) = √(x+2)+2
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<pre>
The given function is 

    f(x) = {{{sqrt(x+2) + 2}}}.


In wording form, it  " adds 2 to x;  then takes the square root;  then adds 2, again ".


The inverse function  f^-1(x)  makes the opposite operations in reverse order. 


In other words,  f^-1(x)  makes the following:


    it subract 2 from the argument; then raise to degree 2; then subtract 2:

        f^-1(x) = {{{(x-2)^2-2}}}.    <U>ANSWER</U>
</pre>

Solved.



The answer is the same as in the post by other tutor;
but the method is different.


Having two different methods of solution, you may use
either method to get the answer, and then use another method for checking.