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

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) (Show Source): You can put this solution on YOUR website!

A: The restriction on is that 3+x has to be greater than or equal to zero. Does A say that?

B: The restriction on is that the denominator can't be 0. Does B say that?

C: The restriction on 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?

RELATED QUESTIONS
Please help me solve this question. Suppose the functions g, h, l are defined as... (answered by Alan3354)

Suppose the functions f, g, h, r and l are defined as follows: g (x) = sqrt((x −... (answered by ikleyn)

Please help me with this question: Let f(x)=3-2x and g(x)=sqrt(x) and h(x)=3x^2+2... (answered by tommyt3rd)

Suppose the functions g, h, l are defined as follows: g(x) = 1/2x -3 h(x) = {{{... (answered by solver91311)

Suppose that the functions f and g are defined for all real numbers x as follows F(x)=... (answered by Fombitz)

Suppose the functions are defined as follows f(x)= {{{ x^2+3 }}} g(x)= {{{ sqrt(x+2) (answered by MathLover1)

I kind of understand how functions work but this is just confusing and I dont understand... (answered by Jk22)

Find f(x) and g(x) such that h(x) = (f o g)(x). (h)x =... (answered by Techpriest)

Suppose the functions f, g, h, r and l are defined as follows: f (x) = 3 log3 x + log... (answered by Alan3354)