Find the domain of the function. x/sqrt(x-10)

Question

x over the square root of x-10. Find the domain.

Answer 1

f(x)=x/√(x-10)

Simply speaking domain of the  function where the expression in bthe RHS has meaning.

It means that

1)√(x-10)≠0

2) x-10>=0

From 1) and 2) follows that x>10. So, the domain of f(x) D(f)=(10, ∞).