document.write( "Question 1047933: Is this statement true or false and why?\r
\n" ); document.write( "\n" ); document.write( "If you are given the 2 functions of $\"+f%28x%29+\"$ and $\"+g%28x%29+\"$ you can calculate(f ○ g) $\"+x+\"$ only if the range of $\"+g+\"$ is a subset of the domain of $\"+f+\"$
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Algebra.Com's Answer #663518 by ikleyn(52806) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Is this statement true or false and why?\r
\n" ); document.write( "\n" ); document.write( "If you are given the 2 functions of $\"+f%28x%29+\"$ and $\"+g%28x%29+\"$ you can calculate(f ○ g) $\"+x+\"$ only if the range of $\"+g+\"$ is a subset of the domain of $\"+f+\"$
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document.write( "1.  In order for calculate (fog)(x) for the given \"x\", g(x) for given \"x\" must lie in the domain of the function f.\r\n" );
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document.write( "2.  In order for calculate (fog)(x) for all x from the domain of the function g,  the range of g (\"the image of g\") \r\n" );
document.write( "    must lie in the domain of the function f.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Your original statement is slightly ambiguous.
\n" ); document.write( "It is not clear, does it relate to all \"x\" from the domain of g, or only to a concrete given element \"x\".\r
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\n" ); document.write( "\n" ); document.write( "But my response resolves all the questions.\r
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\n" ); document.write( "\n" ); document.write( "I hope.\r
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