SOLUTION: For what value of k is the function g(x)= x^2+5, x<4 and 2x-k, x>4 continuous on all real numbers?

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Question 828887: For what value of k is the function g(x)= x^2+5, x<4 and 2x-k, x>4 continuous on all real numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
To be continuous, g%284%29 approaching from the left must equal g%284%29 approaching from the right.
x%5E2%2B5=2x-k
4%5E2%2B5=2%284%29-k
16%2B5=8-k
k=8-16-5
k=-13