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anonymous
 one year ago
find the domain of the function. f(x) = sqrt 6x
anonymous
 one year ago
find the domain of the function. f(x) = sqrt 6x

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Is it \(\large f(x) = \sqrt{6  x} \) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A. (∞, 6) (6, ∞) B. (∞, sqrt6) (sqrt6 , ∞) C. (∞, sqrt6] D. (∞, 6]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes that is right student

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Look in the function. You have x inside a square root. What numbers can you not take the square root of?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1No. Look at the examples below. Can you take all 3 square roots below? dw:1439842157310:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Can you take any of the square roots in the figure?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This is what my calculator does with those square roots. dw:1439842248218:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You can take the square root of a positive number and of zero. You can't take the square root of a negative number.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now let's go back to your function. \(\large f(x) = \sqrt {6  x} \) If x is a number that makes the inside of the square root negative, then that value of x cannot be allowed. We need the inside of the square root to be zero or positive. To find out which values of x gives us a zero or positive inside of the root, we must solve this inequality: \(\large 6  x \ge 0\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\large 6  x \ge 0\) Subtract 6 from both sides: \(\large  x \ge 6\) Since we have x, but we want just x, we multiply both sides by 1. When we multiply (or divide) both sides of an inequality by a negative number, we must change the direction of the inequality sign. \(\large 1( x) \le 1(6)\) \(\large x \le 6\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we know that the domain is all numbers less than or equal to 6. Now you can choose the correct interval from the choices. Do you understand interval notation and what the choices mean?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nop and depends on what choices are you talking about my answers i have to choose from

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I mean the choices you were given as answers to this problem. You need to choose the one that means the same as \(\large x \le 6\) from A. (∞, 6) (6, ∞) B. (∞, sqrt6) (sqrt6 , ∞) C. (∞, sqrt6] D. (∞, 6]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i choose you pickachu im joking is it d

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thnx for your help miss or mister
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