SOLUTION: The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?

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Question 1161350: The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
The range of the function is { , }. What is the function’s domain?




=> and



=> and
the domain is:{ , , , }


Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

The function is  

    f(k) =  = .


The domain is   the union of two sets


First set is  k+1 = {5,8},    or   k = {4,7}.


Second set is k+1 = {-5,-8},  or   k = {-6,-9}.


ANSWER.  The domain is  {-9,-6,4,7}.


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