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How do you combine #9+ (x-3)/ (x+2)#?

Answer 1

Kennedy Adams

#9+ (x-3)/ (x+2)#

#=(9 xx (x+2))/(x+2)+ (x-3)/ (x+2)#

#=((9x +18)+ (x-3))/ (x+2)#

#=(10x +15)/ (x+2)#

#=(5(2x +3))/ (x+2)#

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Answer 2

Ethan Adkins

To combine 9+ (x-3)/ (x+2), you can first simplify the expression by adding the whole number 9 to the fraction (x-3)/(x+2). This can be done by finding a common denominator for the fraction and then adding the numerators. The common denominator is (x+2), so the expression becomes (9(x+2) + (x-3))/(x+2). Simplifying further, we get (9x + 18 + x - 3)/(x+2), which can be written as (10x + 15)/(x+2).

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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.