Algebra
posted by coried .
What is the domain of the function f(x)=sqrt(x^416)? In interval notation. Please show me how to work this problem out. I cannot find any examples in my book. Thanks!

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 <= ? 
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
Similar Questions

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 … 
calculus
find the domain of the following function. State your answer in interval notation. f(x) = 5x + 10/ x + sqrt 26x  169 
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) 
college algebra
For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x3 A.what is the domain of f*g? 
college algebra
for the given function f&g, find the following and state the domain of each result f(x)=2x+1/9x5; g(x)4x/9x5 a.(f+g)(x)= what is the domain? 
algebra
Graph the following function using the technique of shifting, compressing, strecthing and/or reflecting Find domain and range of the function g(x)=2sqrtx3+7 domain=___ (interval notation) range=_____ (interval notation) 
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 … 
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? 
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 … 
PreCal: 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 …