Question 335903
Find the domain of h(x)= 4th root(x^2-5x) 
 
 x^2-5x >= 0 

 x(x-5) >= 0
---
Solve the equality:
x = 0 or x = 5
------------------------
To solve the inequality:
1st: Draw a number line and plot x = 0 and x = 5
2nd: Check a test-value from each of the three
resulting intervals to determine where the solutions
for the inequality lie.
-------------
x(x-5) > 0
Check x = -10: -*->0 ; true, so solutions in (-inf,0)
Check x = 2: +*->0 ; false, so no solutions in (0,5)
Check x = 10: +*+>0 ; true, so solutions in (5,+inf)
========================================================
Final solution:
[0,5] or 0<= x <=5
=================
Cheers,
Stan H.