posted by .

Find the domain of the following rational function.

R(x) = -3x^2 / x^2 + 2x - 48

(x+8)(x-6)

So the domain is x cannot be 8 or -6. Am I correct?

close ...

you factored the bottom correctly to
(x+8)(x-6)

now each of those can't be zero
x+8 ≠ 0
x ≠ -8

likewise x ≠ 6

notice the sign inside the bracket changed as you set them equal to x

## Similar Questions

1. ### Math (calc)

Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1<x<3) ?
2. ### Algebra

23. The ___ axis represents the independent variable. X?
3. ### Math

Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which …
4. ### Math

Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which …

Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So domain is x cannot be 8 or -6. Am I correct?
6. ### Math - Domain and Asymptotes

Given the following rational function: f(x) = (x^2 + 6x - 8) / (x – 5) (a) state the domain. (b) find the vertical and horizontal asymptotes, if any. (c) find the oblique asymptotes, if any.
7. ### precalculus check immediately

suppoe f is a function with domain [1,3]and range[2,5]?
8. ### college algebra

1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x-5; g(x) 4x/9x-5 a.(f+g)(x)=?
9. ### Math

HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] …
10. ### Math

The above function is given: f(x)= sqrt of (2x-6)/(x-8) - Sarah describes the domain as [3, ∞). - Describe why her domain is incorrect. - Provide the correct domain for the function. (I sort of understand this).

More Similar Questions