SOLUTION: Find k, if g(x) is continuous: . g(x)={x+3, x ((equal sign with line crossing through it) 3)) ........{2+ √k, x=3).

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Question 179645: Find k, if g(x) is continuous:
.
g(x)={x+3, x ((equal sign with line crossing through it) 3))
........{2+ √k, x=3).

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
In order to make g(x) continuous the value at x=3, g(x) needs to look like (x+3) at x=3.
Since g(x) is defined as 2%2Bsqrt%28k%29 at x=3, then equate those two values and solve for k.
2%2Bsqrt%28k%29=6
sqrt%28k%29=4
k=16