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?

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nazrina
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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 2 years, 10 months ago by ProtonsTalk.
    • This reply was modified 2 years, 10 months ago by ProtonsTalk.
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