document.write( "Question 941314: True or false: if f is an odd function whose domain is the set of real numbers and a function g is defined by \r
\n" ); document.write( "\n" ); document.write( "g(x)={f(x) if x>=0, -f(x) if x<0,\r
\n" ); document.write( "\n" ); document.write( "then g is an even function. Explain your answer \n" ); document.write( "

Algebra.Com's Answer #573823 by Fombitz(32388) $\"\"$ $\"About$

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By definition, an odd function is defined as
\n" ); document.write( " $\"f%28-x%29=-f%28x%29\"$
\n" ); document.write( "So then if g(x) is defined as $\"-f%28x%29\"$ when $\"x%3C0\"$ , then
\n" ); document.write( " $\"g%28x%29=-%28-f%28x%29%29\"$ when $\"x%3C0\"$ or
\n" ); document.write( " $\"g%28x%29=f%28x%29\"$
\n" ); document.write( "which is the definition of an even function.\r
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