document.write( "Question 179645: Find k, if g(x) is continuous:
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\n" ); document.write( "g(x)={x+3, x ((equal sign with line crossing through it) 3))
\n" ); document.write( "........{2+ √k, x=3). \r
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Algebra.Com's Answer #134632 by Fombitz(32388) $\"\"$ $\"About$

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In order to make g(x) continuous the value at x=3, g(x) needs to look like (x+3) at x=3.
\n" ); document.write( "Since g(x) is defined as $\"2%2Bsqrt%28k%29\"$ at x=3, then equate those two values and solve for k.
\n" ); document.write( " $\"2%2Bsqrt%28k%29=6\"$
\n" ); document.write( " $\"sqrt%28k%29=4\"$
\n" ); document.write( " $\"k=16\"$ \r
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