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How do you translate word phrases to algebraic expressions: six times the sum of a number and its reciprocal?

Answer 1

Kennedy Adams

#6*(x+1/x)#

"six times..." is #6*...#

if x is a number, then #1/x# is its reciprocal,

and afterwards

"the sum of a number and its reciprocal" is #x+1/x#

The algebraic expression is thus as follows:

#6*(x+1/x)#

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Answer 2

Nathan Axel

You would translate "six times the sum of a number and its reciprocal" to the algebraic expression (6(x + \frac{1}{x})), where (x) represents the number.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.