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Grade 11Algebra

If x is real show that {1/(x+1)} + {1/(3x+1)} - {1/(x+1)(3x+2)} can have all numerical values except those lying between 1 and 4.
Please give the solution of above problem.
Warm Regards
Nafis Akhtar

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7 Years agoGrade 11
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1 Answer

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ApprovedApproved Tutor Answer7 Years ago
\frac{1}{x+1}+\frac{1}{3x+1}-\frac{1}{(x+1)(3x+2)}
 
Now see if x=-1 or x=-2/3 or x=-1/3 then the denominator of the corresponding terms becomes zero and the expression becomes infinity.
So these 3 values of x is not allowed.I do not understand why it has to be between 1 to 4.

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