Question

PLEASE HELP!

Answer 1

Can you find g(6) ??

Answer 2

14?

Answer 3

yes. Now find f(6)

Answer 4

9?

Answer 5

Check your sign.

Answer 6

-9sry

Answer 7

f/g (6)=f(6)/g(6)

Answer 8

so -9/14

Answer 9

And the values that are NOT in the domain of g/f (x) is anything that causes the denominator to be 0. Since the denominator is f(x), set f(x)=0 and solve. Whatever value you get is NOT in the domain of g/f (x)

Answer 10

Actually, it asks for g/f (x) so you want g(6) / f(6)=14/-9

Answer 11

okay so for f/g(6)=14/-9 and to get g/f i just swtich f with 0 in both equations?

Answer 12

positive in ]3/2,4] and [-∞,-1] and negative between [-1,3/2[and [4+∞[

Answer 13

g(6)=14
f(6)=-9
g/f (6)=14/-9

Answer 14

i meant 0
positive in ]3/2,4] and ]-∞,-1] and negative between [-1,3/2[and [4+∞[

Answer 15

right mertsj and for g/f?

Answer 16

\[\frac{g}{f}(x)=\frac{1+x)(-4+x)}{3-2x}\]

Answer 17

so there is no answer to it except just to make it a fraction?

Answer 18

So the denominator cannot be 0
so:
\[3-2x \neq 0\]

Answer 19

Which means:

Answer 20

\[3\neq 2x\]

Answer 21

Which means:

Answer 22

\[x \neq \frac{3}{2}\]

Answer 23

okay which means what? lol thats for G/f?

Answer 24

What question are you trying to answer?

Answer 25

the second one g/f

Answer 26

we got the first but i dont know how to get the second

Answer 27

Be more specific. What about g/f?

Answer 28

look at my post with the attchment

Answer 29

the second one

Answer 30

No. You look at it. You are the one who doesn't know what you are trying to find.

Answer 31

I am well aware of the question. You are not.

Answer 32

OHHH!

Answer 33

I am sorry didnt mean to be rude

Answer 34

im looking for the one that doesnt equal. which is 3/2 right?

Answer 35

You weren't rude. I am just trying to help you see that the reason you don't understand the second part is because you don't know what the question is.

Answer 36

welll arnt in the domain i mean

Answer 37

okay so what is NOT in the domain is 3/2?

Answer 38

The question is: Find all values that are NOT in the domain of g/f (x)

Answer 39

So now, in order to figure this out, I ask you...Why aren't ALL numbers in the domain? And what does that mean anyway. What is a domain?

Answer 40

wait what?

Answer 41

What is the meaning of domain?

Answer 42

the domain is all possibble inputs

Answer 43

which make the function work

Answer 44

Yes. Very good. All possible values of x

Answer 45

So I ask you...why can't every number be a possible input?

Answer 46

to be honest I dont know :|

Answer 47

The reason is that you have a denominator and the bottom of a fraction cannot be 0

Answer 48

right yes

Answer 49

So if there is an input value that causes the denominator to be 0, you have to kick that number out of the domain

Answer 50

Is there such a value(s)?

Answer 51

oh! okay.

Answer 52

okay what?

Answer 53

answering the one before sry lol . and is there what values?

Answer 54

values that can kick out 0?

Answer 55

So if there is an input value that causes the denominator to be 0, you have to kick that number out of the domain
Is there such a value(s)?

Answer 56

so the numbers that arnt in the domain is 0.

Answer 57

yes there are

Answer 58

What is it?

Answer 59

Sry Im not getting it, and by yes there are i meant that there are values that can cause 0 but i dont know in my equation. I dont know at what im looking at :(. As you can see not good at math

Answer 60

What is the denominator of:
\[\frac{f}{g}(x)\]

Answer 61

g

Answer 62

According to your problem :
g(x)=(1+x)(-4+x)
and
f(x)=3-2x

Answer 63

Do you agree with that?

Answer 64

yes

Answer 65

so the D= 14that what we got

Answer 66

So using those given facts, what is

Answer 67

sry -9 i mean

Answer 68

\[\frac{g(x)}{f(x)}\]

Answer 69

14/-9

Answer 70

using 6 as x

Answer 71

What is g(x) ?

Answer 72

(1+x)(-4+x)