How to describe the interval(s) on which the function is continuous, using interval notation? f(x)=x sqrt(x+6)

Chelsea Mcknight

Chelsea Mcknight

Answered question

2023-03-25

How to describe the interval(s) on which the function is continuous, using interval notation?
f ( x ) = x x + 6

Answer & Explanation

tambulloc5dn

tambulloc5dn

Beginner2023-03-26Added 8 answers

The function f is defined for all values x such that the expression inside the square root is non-negative, that is when x + 6 0 , or equivalently when x - 6 . The square root, the function x+6, and the operation of multiplying by x are all continuous within that domain.
Therefre, f is continuous for all x - 6 ; in interval notation, in the interval [ - 6 , + ) .

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