SOLUTION: Consider the function f(x) = {{{ 1/ sqrt( x^3-27 ) }}}. Find the domain of f, and answer using interval notation

Algebra ->  Functions -> SOLUTION: Consider the function f(x) = {{{ 1/ sqrt( x^3-27 ) }}}. Find the domain of f, and answer using interval notation       Log On


   



Question 996562: Consider the function f(x) = +1%2F+sqrt%28+x%5E3-27+%29+. Find the domain of f, and answer using interval notation
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
The domain is

x%5E3-27 > 0,     or

x%5E3 > 27,     or

x > 3.

The semi-infinite interval  (3, infinity)  is the solution.