document.write( "Question 1039117: If a(x) = 3x+1 and b(x) = sqrt x-4 what is the domain of (b o a)(x) \n" ); document.write( "

Algebra.Com's Answer #653877 by Fombitz(32388) $\"\"$ $\"About$

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First find b(a).
\n" ); document.write( " $\"b%28a%29=sqrt%28a-4%29\"$
\n" ); document.write( " $\"b%28a%29=sqrt%283x%2B1-4%29\"$
\n" ); document.write( " $\"b%28a%29=sqrt%283x-3%29\"$
\n" ); document.write( "For the square root function, the argument cannot be negative so,
\n" ); document.write( " $\"3x-3%3E0\"$
\n" ); document.write( " $\"3x%3E3\"$
\n" ); document.write( " $\"x%3E1\"$
\n" ); document.write( "This is the domain of b(a).
\n" ); document.write( "( $\"1\"$ , $\"infinity\"$ ) \n" ); document.write( "

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