Home Forums Math 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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  • #10342
    mansim
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      (a) (-infinity, infinity)
      (b) (0, infinity)
      (c) (1, infinity)
      (d) (4, infinity)

      #10357
      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, 8 months ago by ProtonsTalk.
        • This reply was modified 2 years, 8 months ago by ProtonsTalk.
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