Home › Forums › Math › If a(x)=3x+1 and b(x)=(x-4)^1/2, what is the domain of (b o a)x? › Reply To: If a(x)=3x+1 and b(x)=(x-4)^1/2, what is the domain of (b o a)x?
July 19, 2021 at 7:58 pm #10357
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Answer:
Given: a(x) = 3x+1 , b(x) = (x-4)^1/2
(b o a)(x) = b(a(x))
= b(3x+1)
= ((3x+1)-4)^1/2
= (3x-3)^1/2
= 3(x-1)^1/2
So, the domain of x should be greater than equal to 1
i.e. x belongs to (1,infinity)
Therefore the correct answer is (c).
- This reply was modified 3 years, 1 month ago by
ProtonsTalk.
- This reply was modified 3 years, 1 month ago by
ProtonsTalk.