domain of (x-1)/(x-3)>0 with proper steps
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Answer:
( - ∞ , 1 ) ∪ ( 3 , ∞ )
Step-by-step explanation:
We have to find domain of given function :
f ( x ) = ( x - 1 ) / ( x - 3 ) > 0
= > ( x - 1 ) / ( x - 3 ) > 0
For critical point :
= > x - 1 = 0
= > x = 1
= > x - 3 = 0
= > x = 3
When we plot it on number line we need portion greater than zero!
i.e. which of positive sign :
Domain = ( - ∞ , 1 ) ∪ ( 3 , ∞ )
Hence we get required answer!
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