posted by .

What is the domain of the function f(x)=sqrt(x^4-16)? In interval notation. Please show me how to work this problem out. I cannot find any examples in my book. Thanks!

  • Algebra -

    You cannot take the square root of a negative. So f(x) is defined when the contents of the square root are greater than or equal to 0.

    x^4 - 16 >= 0
    x >= ? and x <= ?

  • Algebra -

    Interval notation expresses an included endpoint (greater than or equal) with a "[]" and a not included endpoint (greater than) with a "()"

    For example, if the domain of x is -2 < x <= 3, then interval notation would be (-2,3].

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trigonometry

    In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x) a) Sketch the cosecant function over the interval (-2pi, 2pi) i can do that b) This function is not one to one - please …
  2. calculus

    find the domain of the following function. State your answer in interval notation. f(x) = 5x + 10/ x + sqrt -26x - 169
  3. calculus

    Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)
  4. college algebra

    For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x-3 A.what is the domain of f*g?
  5. college algebra

    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)= what is the domain?
  6. algebra

    Graph the following function using the technique of shifting, compressing, strecthing and/or reflecting Find domain and range of the function g(x)=2sqrtx-3+7 domain=___ (interval notation) range=_____ (interval notation)
  7. Algebra

    Hello again, I am now working on trying to find the relation of x = 1 - y^2, along with the domain and range. Then written in interval notation. I think I am ok with figuring out the domain and range on a graph but my problem is how …
  8. Algebra

    Find the domain of the function. Write in interval notation. sqrt(x^2 − 64). For the answer, I got (-infinity, -8)u(8, infinity), but that's wrong, and I'm not sure what else to try?
  9. Algebra

    Find the domain of the function. (Write your answer using interval notation.) sqrt(x)/ (4x^2 + 3x − 1) If you set the bottom equal to zero, I got that x can't be -1 or 1/4. But I'm not sure if that's right, or how to write the …
  10. Pre-Cal: Domain

    [Note: I really need help on these Domain questions. I've been struggling with this all day] -Consider the following: f(x)= 5/x , g(x)= 7/(x+7) -Find the solutions to the following: 1). (f+g)(x) 2). Domain of (f+g)(x) [Use interval …

More Similar Questions