Question

For the function of f and g, find the following and state the domain of each result
f(x) = 5x+2/3x-4 ; g(x)= 2x/3x-4. How do I solve this pls...

Answer 1

first of all when is a fraction undefined ?

Answer 2

when the denominator is equal to zero i think

Answer 3

yes right so than this will be the first you need calculi for what value will be the denominator zero

ok ?

Answer 4

so what will be the restriction of x ?

Answer 5

3x-4 = 0
3x = 4
x=4/3
is this right?

Answer 6

yes

Answer 7

what is the restriction on x? x is not equal to 0?

Answer 8

x not equal 4/3 never because than these fractions will be undefined

yes ?

Answer 9

because x=4/3 result denominator equal zero

Answer 10

ok ?

Answer 11

so what is the domain for f(x)?

Answer 12

moment

now you need make f(x) equal zero and g(x)=0

and calculi

ok ?

Answer 13

ok working on it....

Answer 14

try calculi you here ,ok ?

Answer 15

courage please i will help you

Answer 16

so will it be 5(4/3) + 2 divided by 3(4/3) - 4 = 0? is this right?

Answer 17

i got 7/-1

Answer 18

5x+2
------ = 0
3x-4

5x+2=0

5x=-2

x= -2/5

how you have got this result ?

Answer 19

I plugged in 4/3 for x. guess i was wrong.

Answer 20

x=4/3 is a restriction of x

Answer 21

ok so we exclude that right?

Answer 22

yes sure

Answer 23

ok am solving for g(x)

Answer 24

let s go but here ok ?

Answer 25

2x=0
x=-2

Answer 26

2x=0

so try prove it for x=-2

you will get zero ?

i think never

Answer 27

how you have got this -2 ?

Answer 28

so there is 2x=0 divide both sides by 2

what will get ?

Answer 29

are you here ?

Answer 30

sorry... 2x=0
x = 0

Answer 31

yes sure


this is easy

yes ?

Answer 32

yayyy got it!... with your help yes it was easy..

now how to write the domain...

Answer 33

so how you know it where is defined a function f(x) or g(x) so when these are fractions ?

Answer 34

do you have learned it in your school,yes ?

Answer 35

yes but online and it is so confusing to follow

Answer 36

are defined in R without this restriction

what mean R ?

Answer 37

what is R?

Answer 38

you dont know it ?

Answer 39

no.

Answer 40

how you not the set of real numbers ?

Answer 41

ok sure the symbol for the set of all real numbers! yes i do

Answer 42

I usually write it as x|x

Answer 43

yes so than you know what is the answer on this exercise now ?

Answer 44

I guess it is the x|x >=4/3 for f(x) and g(x) x|x>= 2

Answer 45

why ?

Answer 46

is that wrong? pls correct me

Answer 47

so the domain will be R without this restriction of x

Answer 48

so will that be x|x not equal to 4/3?

Answer 49

hiya Jhonyy9 are you there?

Answer 50

yes i m here

Answer 51

the domain is R without 4/3

ok ?

Answer 52

I got it. thanks so much. You have been very helpful.

Answer 53

np
was my pleasure


good luck