SOLUTION: If a(x) = 3x+1 and b(x) = sqrt x-4 what is the domain of (b o a)(x)

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Question 1039117: If a(x) = 3x+1 and b(x) = sqrt x-4 what is the domain of (b o a)(x)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find b(a).
b%28a%29=sqrt%28a-4%29
b%28a%29=sqrt%283x%2B1-4%29
b%28a%29=sqrt%283x-3%29
For the square root function, the argument cannot be negative so,
3x-3%3E0
3x%3E3
x%3E1
This is the domain of b(a).
(1,infinity)