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

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Answer 1 · 2015-12-09T14:27:22

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

Range : #(-3, +oo)#

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#