Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x+5)/(x-3) D. (x+5)/(x-3)

D. (x+5)/(x-3)

Step-by-step explanation:

Domain = Set of all input values of a function.

range = set of all output values of a function.

Given: Domain:   ; range =

We do not include a value for domain if it makes the expression indeterminant .

Since all the functions in options are fractions, here the denominator does not equal to 0.

But in option C and D, the denominator can be zero if x=3.

So , domain for then it

Also, for option C if

.which is not true.

Wher as in option D,

Hence, Domain:   ; range = is for option D.

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