document.write( "Question 260502: For the functions f(x) and g(x), determine the domain of (fg)(x) (the product of f and g). f(x)=2/x-12, g(x)=-6x-5. \r
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document.write( "a) x is a real number.
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document.write( "b) x is a real number and x is not equal to 5.
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document.write( "c) x is a real number and x is not equal to -12.
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document.write( "d) x is a real number and x is not equal to 12.\r
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document.write( "If my understanding is correct, the answer would be option a. Is this correct? Please explain. \n" );
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Algebra.Com's Answer #191896 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! For the functions f(x) and g(x), determine the domain of (fg)(x) (the product of f and g). f(x)=2/x-12, g(x)=-6x-5. \n" ); document.write( "------------------------------------------ \n" ); document.write( "(fg)x = ([2/(x-12)][-6x-5] \n" ); document.write( "= (-12x-10)/(x-12) \n" ); document.write( "a) x is a real number. \n" ); document.write( "b) x is a real number and x is not equal to 5. \n" ); document.write( "c) x is a real number and x is not equal to -12. \n" ); document.write( "d) x is a real number and x is not equal to 12. \n" ); document.write( "----- \n" ); document.write( "The denominator cannot be zero. \n" ); document.write( "Ans: d \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |