Question

Hi! Anyone know domain? The domains of 5x^(2/3) and -9x^(2/3)?
Thanks (: Hi! Anyone know domain? The domains of 5x^(2/3) and -9x^(2/3)?
Thanks (: @Mathematics

Answer 1

Try graphing them

Answer 2

I have to know if it's real numbers, or all non negetive real numbers, its kinda complicated and no one has answered me since yesterday. :(

Answer 3

The domain fo 5x^(2/3) is R because x can be anything
And the same goes for -9x^(2/3)

Answer 4

for*

Answer 5

remember that 2/3 as an exponent is merely the cube root of something squared
The cube root is defined for both negative and positive numbers. Thus xER

Answer 6

Make sense?

Answer 7

Yeah :) And one more...for the numbers 5x^(6/5) and 3x^(4/5) would it also be all real #'s? But i think for 5x^(6/5) it would be all positive #'s?

Answer 8

5x^(6/5) = xER as well because it is just saying the fifth root of something to the power of six. All odd roots can take both negative and positive numbers

Answer 9

The same is true for 3x^(3/5)

Answer 10

^(4/5) *

Answer 11

Okay so their domains are all real #?

Answer 12

Only when the root is even (i.e. square root), does the domain restrict x to all positive numbers

Answer 13

And yes :)

Answer 14

I see, thank you so much! :D

Answer 15

Anytime :)