SOLUTION: Please help me solve this: Suppose f, g and h are functions defined by f(x) = 3x sqrt(3 + x), g(x) = x + 3 / 3x + 2 and h(x) = sqrt(x − 1) / sqrt(x + 1) Which of the f

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me solve this: Suppose f, g and h are functions defined by f(x) = 3x sqrt(3 + x), g(x) = x + 3 / 3x + 2 and h(x) = sqrt(x − 1) / sqrt(x + 1) Which of the f      Log On


   

Question 1142371: Please help me solve this:
Suppose f, g and h are functions defined by
f(x) = 3x sqrt(3 + x), g(x) = x + 3 / 3x + 2
and h(x) = sqrt(x − 1) / sqrt(x + 1)
Which of the following statements is / are true?
A. Df = {x ∈ R : x ≥ −3}
B. Dg = {x ∈ R : x != − 2/3}
C. Dh = {x ∈ R : x > −1}
1. Only A
2. Only B
3. Only C
4. Only A and B
5. A, B and C
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


A: The restriction on f%28x%29+=+3x%2Asqrt%283%2Bx%29 is that 3+x has to be greater than or equal to zero. Does A say that?

B: The restriction on g%28x%29+=+%28x%2B3%29%2F%283x%2B2%29 is that the denominator can't be 0. Does B say that?

C: The restriction onh%28x%29+=+sqrt%28x-1%29%2Fsqrt%28x%2B1%29 is that x-1 must be greater than or equal to 0 and x+1 (since it is in the denominator) must be greater than 0. Does C say that?