What is the domain and range of f(x) = 5/ |x|-3 ?

1 Answer
Dec 9, 2015

Domain (-oo, 0) uu (0,+oo)

Range : (-3, +oo)

Explanation:

Domain: Set of possible x values of the given function.

We have x in the denominator , so we could not take x=0

so we can take any real number except 0 , for the domain.

Range : set of possible y value.

y=5/abs(x) -3

y+3=5/abs(x)

5/abs(x) >0 ,AA x; since abs (x)>0 AA x.

y+3>0

so y> -3