Tutor: Hi! I am now working on your question and you will soon see me writing on your drawing board.
Tutor: Hello
Tutor: Yes its a rational function
Tutor: And in rational functions
Tutor: We have to first find for what values of x, the denominator is 0
Tutor: And then discard all those values from the Real numbers
Tutor: Here the denominator is x + 8
Student: But, we'd have to get the 8 on the other side of the x, right? Make it where it goes
Tutor: So setting it to 0, we have
Tutor: X + 8 = 0 => x = -8
Tutor: So we discard -8
Tutor: Else all real numbers are in the domain
Tutor: So we have
Tutor: That is the answer
Tutor: Any questions so far?
Student: Yeah, one. Would it be the all real number symbol with the -8 in interval notation or just the all real number symbol by itself?
Tutor: Can you see the board?
Tutor: R - {-8} is the domain
Student: Okay.
Student: F(x) = x+2
Tutor: Its a polynomia
Tutor: Polynomial*
Student: Polynomial function?
Tutor: So all real numbers
Tutor: R is the domain
Student: Fantastic.
Student: F(x)= I4x+7I (absolute value function)
Tutor: Its domain is always all real numbers
Tutor: That is R
Student: G(x)= 3x squared
Student: Quadratic?
Tutor: Yes
Tutor: So again a polynomial
Tutor: Hence the domain is R
Tutor: All Polynomials have domain R
Tutor: All rational functions have domian R - {x| denominator = 0}
Tutor: Are there any more questions that I can help you with?
Student: What about the polynomial functions? Is there an answer I can put in set builder or interval notation?
Tutor: R or (- infinity, infinity)
Student: Quadratic? Are all quadratic functions going to have the same domain (-infinity, infinity)?
Tutor: Yes
Tutor: All polynomials infact
Student: Aren't there different rules that apply to radical functions?
Tutor: In radiacal functions
Tutor: The first thing applied should be
Tutor: Whatever is inside the square root should be positive or 0
Tutor: Like
Student: I've got an example 3x-9
Tutor: Any questions so far?
Student: One, is that [3, infinity)?
Tutor: Yes
Student: Fantastic.
Student: That is everything I have tonight. I appreciate your work and your help. Thanks!
Student: Student has ended this session. This question is automatically marked as done.
Tutor: :)
Tutor: Good bye. Thank you for using Instant Math Help.