Question

find the domain of the real valued function;
f(x) = sqrt(5 - (sqrtx))

my solution:

5 - (sqrt x) >=0
-(sqrt x) >= -5
(sqrt x) <= 5
x <= 25

(-infinity, 25]

is this correct?

Answer 1

no, since when x < 0, sqrt(x) is not defined. so, neither is sqrt(5-sqrt(x))

the domain is just [0,25]

Answer 2

thank you very much!