I need to know the Domain and Range of the following rational expressions/functions.  1. y = -10/x   2. y = (1)/(x+3) + 3  Also, I need to compare them with the graph of y=1/x    Thanks for...

I need to know the Domain and Range of the following rational expressions/functions. 

1. y = -10/x

 

2. y = (1)/(x+3) + 3 

Also, I need to compare them with the graph of y=1/x 

 

Thanks for the help! 

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to remember the definition of domain of function, hence, since, the domain contains the x inputs that make the function valid, you should notice that at `x = 0` , the function `y = -10/x` is not defined.

Hence, evaluating the domain of the function yields that it contains all real numbers, except `x = 0.`

The range of the function cotains the y outputs that come out when using equation of function `y = -10/x.`

Hence, evaluating the range of the function yields that it contains all real numbers, except y = 0.

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