A few days ago
KYLE B

HW help for hard math??

Use interval notation to indicate the domain of

f(x)= 4thsqrt(x^2-6x)??

been stuck on this forever?? plz help!

Top 2 Answers
A few days ago
Anonymous

Favorite Answer

I like SR’s answer, but I would add one more step since the problem requires “interval notation”.

x<=0 OR x>=6

becomes

(+inf,0] U [6,+inf)

(note: the square brackets are required because 0 and 6 are included in the domain)

1

A few days ago
Anonymous
to extract 4th root, you need the expression inside to always be positive (>0)

x^2-6x > 0

x(x-6) >0

either x<0 AND x<6 which means x<0 or, x>0 AND x>6 which means x>6

Therefore, the solution set will be all real numbers that DO NOT lie between 0 and 6

**UPDATED**

Mike Shank’s last step below completes the solution.

0