document.write( "Question 937847: How do you find the domain of: (f + g)(x), if f(x)=x+2, g(x)=x^3-1. Specifically, how do you determine it step by step? \n" ); document.write( "

Algebra.Com's Answer #571233 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "find the domain of: $\"%28f+%2B+g%29%28x%29\"$ , if $\"f%28x%29=x%2B2\"$ , $\"+g%28x%29=x%5E3-1\"$ \r
\n" ); document.write( "\n" ); document.write( "first find
\n" ); document.write( " $\"%28f+%2B+g%29%28x%29\"$ which is same as $\"f%28x%29+%2B+g%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"f%28x%29=x%2B2\"$ , $\"+g%28x%29=x%5E3-1\"$ , then\r
\n" ); document.write( "\n" ); document.write( " $\"%28f+%2B+g%29%28x%29=x%2B2%2Bx%5E3-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28f+%2B+g%29%28x%29=x%5E3%2Bx%2B2-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28f+%2B+g%29%28x%29=x%5E3%2Bx%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( "the domain is: $\"R\"$ (all real numbers)\r
\n" ); document.write( "\n" ); document.write( "or ( $\"-infinity\"$ , $\"infinity\"$ )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%2Bx%2B1%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );