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).
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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).
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