Question: Given the piecewise defined function g(x)={|x|+k,ifx <3} {x^2,ifx3} what value of k makes g(x) continuous at x=3?

Given the piecewise defined function

g(x)={|x|+k,ifx<3}

{x^2,ifx3}

what value of k makes g(x) continuous at x=3?

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