Question

Please help!!! Will fan and medal!!!

Question attached in comments

Answer 1

i can help

Answer 2

\[f(x) = \sqrt{8x} ; g(x) = 1/x+6\] is your original equation.

Answer 3

\[\sqrt{8(1/x+6)} = \sqrt{8/x+6}\]

Answer 4

becomes your eqauation when you insert g(x) into f(x)

Answer 5

Okay so how do I find x?

Answer 6

one sec

Answer 7

You don't need to solve for x, once you have f(g(x)), just plug the given solutions into the equation you have. If you get a real answer, it is in the domain. If not, it is not.

Answer 8

Okay lemme see if I can make my calculator work.

Answer 9

so than you check for x=-6 g(x) will be undefined so this mean x=-6 will be eliminate sure
- yes ?

Answer 10

you are trying to get the denominator to equal zero so that it is undefined. so the answer would be -6 thanks for explaining it as well @jhonyy9

Answer 11

-6 + 6 = 0 making the entire equation zero :)

Answer 12

0 = 0 for each equation :)

Answer 13

You are looking for a value within the domain of f(g(x)), not the one outside of the domain. -6 is not in the domain, so it can't be the answer.

Answer 14

the only one that it could be in the domain of is positive six right? because anything equal to or lower than -6 isnt in the domain.

Answer 15

so i have said this because you know it sure that for a fraction not can being the denominator never zero - yes - so than this result that -6 will be eliminated from right answers possibility

Answer 16

I'm so lost ._.

Answer 17

How about you guys stop complicating it? And just give here the simplest way of getting the answer?

Answer 18

her*

Answer 19

okay so you have this equation.\[\sqrt{8/x}\]

Answer 20

whoops

Answer 21

√8/x+6

Answer 22

how do you get the bottom of the fraction to = 0?

Answer 23

I don't know ;-;

Answer 24

x+6 is the bottom

Answer 25

And @Alphabet_Sam If you're going to say -6 is incorrect it would be appreciated if you gave the correct answer and the reasoning.

Answer 26

x+6 = 0 (subtract 6 on both sides of the equation)
-6 -6
x+0=-6 (simplified)

Answer 27

But I thought it wasn't -6 ;-;

Answer 28

because that makes the bottom of the equation to equal zero; anything that is -6 and lower is incorrect

Answer 29

does that make sense?

Answer 30

So then it would have to be 6? owo

Answer 31

i belive so :)

Answer 32

6 was right :) Would you help with some more? @RhondaSommer