Question

How do I find the domain of √(x^4 - 16x^2) ?

Answer 1

We cannot take the square root of a negative number. Therefore,
x^4 - 16x^2 >= 0
x^2(x^2 - 16) >= 0
x^2 is always >= 0
Therefore x^2 - 16 must be >= 0
solve this inequality and that will give you the domain.

Answer 2

Ah I see. so x>=4 and x=<-4 and x=0?

Answer 3

x <= -4 OR x >= +4. (not x = 0).
In interval notation, the domain is: (-infinity, -4] U [4, infinity)
where U is the union symbol.

Answer 4

can you please show me step by step how to get the answer?

Answer 5

The first reply has the step-by-step solution.

Answer 6

oh alright. thank you. :)

Answer 7

you are welcome.