Question

Math question help.

Answer 1

How do i find the domain of this function..\[F(x) = \frac{ 2x }{ \sqrt{x-1} }\]

Answer 2

Sorry, i need the range of ^^^^ function.

Answer 3

I’ve predicted that the range has to be equal or greater than 2.

Answer 4

2?

Answer 5

The x-value fron the domain which is *x can be equal to or greater than 1* doesn’t apply to the range...everytime i plugin 1 in the denominator i get an undef...so y has to be greater or equal to 2 for range

Answer 6

Do you want me to write out the answer fer?

Answer 7

But here it cant equal 1 either, itll make the denominator 0

Answer 8

Range would be 4

Answer 9

Sorry my internet is dying,,, it stops for no apparent reason

Answer 10

Do you wanna finish this question or move on to the next topic?

Answer 11

Did I not help you with this one already?

Answer 12

Pretty sure I did

Answer 13

And you made the same mistake as before

Answer 14

I’d go back and see what i did to find the range but i can’t find my last post

Answer 15

I said to find the range, solve this \(x - 1 > 0\)

Answer 16

and NOT this \(x - 1 \ge 0\)

Answer 17

You told me you knew the difference between \(> and \ge \)

Answer 18

Yeah my bad... lol

Answer 19

Also, you should know that \(x \ne 1\) for this because that would lead to a zero denominator

Answer 20

Let me fix it

Answer 21

@Ferredoxin4 already told you what the range was

Answer 22

And you still don't know how to write the domain correctly.

Answer 23

Since there’s no HA, does that mean there’s no restrictions in the range?

Answer 24

Can u show my how the range would be 4?

Answer 25

[a, b] means \(a \le x \le b\) and a and b are included in the domain. (a , b) means a < x < b and a and b are excluded from the domani.

Answer 26

The range is \([4, \infty)\)

Answer 27

How do u algebraically figureout the range

Answer 28

You can't always figure out the range algebraically which is why I tried to help you focus on finding the values of the lower and upper bounds

Answer 29

I see

Answer 30

So in this case, how to start thinking about finding the range is to start with \(x = 1\) you know that is undefined so the next number to try is \(x = 2\)

Answer 31

And evaluate f(2). You get 4 which is the lower bound.

Answer 32

I don’t get 4 when I plugin 2 let me try again

Answer 33

So the upper bound is infinite?

Answer 34

I don’t see any limits when x is bigger than 2...

Answer 35

I get it ..let me do the range now

Answer 36

Bro, we're already doing the range. SMH

Answer 37

And you already found the domain. Remember?

Answer 38

You also need to learn the difference between using [ and using (

Answer 39

I think that some of your Algebra 2 and Precalculus skills are rusty. I suggest you go over:
-graph transformations
-Parent functions
-boundness, restrictions, discontinuity

Answer 40

AND function notation and other notation like Hero said. There's a difference between [ and (

Answer 41

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Hero
[a, b] means \(a \le x \le b\) and a and b are included in the domain. (a , b) means a < x < b and a and b are excluded from the domani.
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 42

So what am I doing wrong?

Answer 43

Hero, i’ve Told u 100 times, use simple language and terms..

Answer 44

It makes the problem 100 times harder for me..

Answer 45

Can you evaluate \(f(\infty)\)

Answer 46

No

Answer 47

Okay, then you need to use a parentheses for it so write \([4, \infty) \)

Answer 48

That’s it. I’ll remember that..

Answer 49

And that also corresponds to \(4 \le x < \infty\)

Answer 50

4 is inclusive and infinity is exclusive

Answer 51

Meaning 4 is included in the solution set and infinity is not

Answer 52

Too many big words... dumb it down for me...idk what corresponding means.. use simple English..chris

Answer 53

Christ

Answer 54

\([4, \infty) \iff 4 \le x < \infty\)

Answer 55

Ok

Answer 56

or

\([4, \infty) \equiv 4 \le x < \infty\)

Answer 57

Wait 4 is the range

Answer 58

Yes 4 is included in the range.

Answer 59

\(4 \le y < \infty)\) means that every number between 4 and infinity is included in the range.

Answer 60

But does domain starts from 4 tho? Or 2?

Answer 61

lol, I kept writing x instead of y

Answer 62

I’m done my head is hurting...

Answer 63

I wanna move on to the next topic

Answer 64

The range is always associated with y. Sorry about that

Answer 65

The next topic (most likely limits) will explore this even more at a much higher level, so you need to be strong in this.

Answer 66

No actually it’s about prod, sum, diff, and quotient of func

Answer 67

And cost n profits questions

Answer 68

Func*

Answer 69

I need someone to gimme warmup questions related to that

Answer 70

Let me open a new thread