Domain questions?

Question

What is the domain of f(x)= x^-2/5?

 

What is the domain of f(x)= x^1/5?

 

 

What is the domain of g(x)= x² - 3x?

 

 

Answer 1

Question1

 

f(x) = ⁵√(1/x²)

 

We take the term 1/x².  The denominator cannot equal zero because it will make the function undefined.

 

Therefore, your domain is  (-∞.0)∪(0,∞).

 

 

Question 2

 

f(x) = ⁵√(x)

 

Your domain is  (-∞,∞).

 

 

Question 3

 

f(x) = x²-3x

 

Your domain is  (-∞,∞).