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  • 05-01-2017
  • Mathematics
Answered

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

Verified Answer :

MUVAxo
MUVAxo MUVAxo
  • 06-01-2017

The domain of a function contains the x-values of the function while the range of the function contains the y-values of the function. In this case, we substitute 25 and 64 to y. Then,
25 = k2 + 2 k + 1 (k-4) (k+6) = 0
64 = k2 + 2 k + 1 (k-7)
(k+9) = 0
hence the domain is {-9,-6, 4,7}

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