document.write( "Question 301368: f(x) = |x| and g(x) = x - 1. How many solutions x satisfy f(x) = g(x)? \n" ); document.write( "

Algebra.Com's Answer #216064 by Fombitz(32388) $\"\"$ $\"About$

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$\"f%28x%29\"$ can take on values of $\"x\"$ when $\"x%3E0\"$ and and $\"-x\"$ when $\"x%3C0\"$ .
\n" ); document.write( " $\"f%28x%29=g%28x%29\"$
\n" ); document.write( "Create a new function and find out when it equals zero.
\n" ); document.write( " $\"h%28x%29=f%28x%29-g%28x%29=0\"$
\n" ); document.write( "When $\"x%3E=0\"$
\n" ); document.write( " $\"h%28x%29=x-%28x-1%29\"$
\n" ); document.write( " $\"h%28x%29=1\"$
\n" ); document.write( "When $\"x%3C0\"$
\n" ); document.write( " $\"h%28x%29=-x-%28x-1%29=-2x%2B1\"$
\n" ); document.write( ".
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\n" ); document.write( "In both cases, $\"h%28x%29\"$ will never equal zero.
\n" ); document.write( "No solutions where f(x)=g(x). \n" ); document.write( "

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