document.write( "Question 1142371: Please help me solve this:\r
\n" ); document.write( "\n" ); document.write( "Suppose f, g and h are functions defined by\r
\n" ); document.write( "\n" ); document.write( "f(x) = 3x sqrt(3 + x), g(x) = x + 3 / 3x + 2
\n" ); document.write( "and h(x) = sqrt(x − 1) / sqrt(x + 1)\r
\n" ); document.write( "\n" ); document.write( "Which of the following statements is / are true?\r
\n" ); document.write( "\n" ); document.write( "A. Df = {x ∈ R : x ≥ −3}
\n" ); document.write( "B. Dg = {x ∈ R : x != − 2/3}
\n" ); document.write( "C. Dh = {x ∈ R : x > −1}\r
\n" ); document.write( "\n" ); document.write( "1. Only A
\n" ); document.write( "2. Only B
\n" ); document.write( "3. Only C
\n" ); document.write( "4. Only A and B
\n" ); document.write( "5. A, B and C
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Algebra.Com's Answer #763151 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "A: The restriction on \"f%28x%29+=+3x%2Asqrt%283%2Bx%29\" is that 3+x has to be greater than or equal to zero. Does A say that?

\n" ); document.write( "B: The restriction on \"g%28x%29+=+%28x%2B3%29%2F%283x%2B2%29\" is that the denominator can't be 0. Does B say that?

\n" ); document.write( "C: The restriction on\"h%28x%29+=+sqrt%28x-1%29%2Fsqrt%28x%2B1%29\" is that x-1 must be greater than or equal to 0 and x+1 (since it is in the denominator) must be greater than 0. Does C say that?

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