SOLUTION: Find the domain of the function g(x) = cuberoot of 3x-15. I know if you have f(x)= {{{ sqrt( 30-5x ) }}}, you do 30-5x >= 0, and solve from there, but I don't know how to do it

Algebra ->  Radicals -> SOLUTION: Find the domain of the function g(x) = cuberoot of 3x-15. I know if you have f(x)= {{{ sqrt( 30-5x ) }}}, you do 30-5x >= 0, and solve from there, but I don't know how to do it       Log On


   



Question 625739: Find the domain of the function g(x) = cuberoot of 3x-15.
I know if you have f(x)= +sqrt%28+30-5x+%29+, you do 30-5x >= 0, and solve from there, but I don't know how to do it if there is a cube root.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The domain of the cube root function (and any odd numbered integer root for that matter) is all real numbers. It is only when you are taking even numbered roots, square, 4th, 6th, etc. that you have to restrict the radicand to non-negative numbers.

John

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