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

Question 625739: Find the domain of the function g(x) = cuberoot of 3x-15.
I know if you have f(x)= , 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) (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

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

RELATED QUESTIONS
How do you find the domain of f. Given the function... (answered by solver91311,reviewermath)

Let f(x)=x-18 and g(x)=sqrt(x-3) I need to find (f/g)(12) and Find the domain of (answered by josgarithmetic)

Determine the domain and the range of the function... (answered by Fombitz)

I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)

1.)Given the function k described by k(x)=x+18 find the following: k(0)=? 2.)Given the... (answered by stanbon)

Please solve. given the function f(x)= 5x + 17 and f(x) =6x^2-7x-3 find the following... (answered by stanbon)

For the given pair of functions, find the requested function f(x)=5x^2-4x-1 and g(x)... (answered by josgarithmetic)

Please help me solve this problem, I have answered most of the questions, but I would... (answered by stanbon,solver91311)

I must find the domain and range for: f(x) 3x-2 over 4+5x Domain: 4+5x=0 -4 both... (answered by longjonsilver)