Question 1192968
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            There are two questions in your post,  therefore, 

            I give you two answers  (one answer for each question).



<pre>
(a)  To find f(f(-3)), first find f(-3) = (-3)^2 + 1 = 9 + 1 = 10.


     Then find f(f(-3)) by substituting the value of 10 instead of the interior "f(-3)" into the formula for f(x)

          f(f(-3))) = f(10) = 10^2 + 1 = 101.      


      It is the answer to your first question.



(b)  Next your question is whether f(f(-3)) is the same as f(f(x)).


     The answer is "NO", because f(f(-3)) is a number,

     while f(f(x)) is a polynomial function.
</pre>

Solved, answered and thoroughly explained.



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<U>Comment from student</U> : Oh I was asking about the f[f(x)] If it was the same as f(f(x)) but thank you!




<U>My response</U> : No, &nbsp;your second question was different.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Also, &nbsp;I do not like when the &nbsp;"THANKS" &nbsp;comes in such curved form . . .