document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #499646 by Fombitz(32388) $\"\"$ $\"About$

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To be continuous, $\"g%284%29\"$ approaching from the left must equal $\"g%284%29\"$ approaching from the right.
\n" ); document.write( " $\"x%5E2%2B5=2x-k\"$
\n" ); document.write( " $\"4%5E2%2B5=2%284%29-k\"$
\n" ); document.write( " $\"16%2B5=8-k\"$
\n" ); document.write( " $\"k=8-16-5\"$
\n" ); document.write( " $\"k=-13\"$
\n" ); document.write( " \n" ); document.write( "

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