wkeri90 wkeri90
  • 07-01-2018
  • Mathematics
contestada

The range of the function fk) K2 2k + 1 is (25, 64). What is the function's domain?

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mussabakkari
mussabakkari mussabakkari
  • 07-01-2018

1.  Set f(k) = 25

k2 + 2k + 1 = 25 

k2 + 2k - 24 = 0

(k - 4)(k + 6) = 0

So two limiting values in the domain are -4 and 6

 

2. Set f(k) = 64

k2 + 2k + 1 = 64

k2 + 2k - 63 = 0

(k - 7)(k + 9) = 0

So the other two limits are -9 and 7

 

The domain is  [-9, -4] ∪ [6, 7]

 

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