Question

ALGEBRA HELP .Last question
graph each function of g

Answer 1

g(x)=f(2x)

Answer 2

So coordinating points of G correct?

Answer 3

thank you for stopping by to help me :)

Answer 4

yes

Answer 5

No prob xD

Answer 6

thank you , so can you explain on how I can do that . Its a tad bit confusing

Answer 7

are the coordinates already showing?

Answer 8

aren't*

Answer 9

no using the graph that I posted up there to plug in . to solve the question

Answer 10

@pooja195 please help my friend I dont understand the question

Answer 11

its ok . I dont understand it too well either ;/

Answer 12

stupid school questions @pooja195

Answer 13

@SolomonZelman bro please help my friend ^_^ you very smart of these kind of questions

Answer 14

@tkhunny please help

Answer 15

Domain of f(x) is what?

Answer 16

-2, 2 @tkhunny

Answer 17

from the graph, we see that f(2) = 2 because (2,2) is on the graph of f(x)

if we plug x = 2 into g(x), we get

g(x) = f(2x)
g(2) = f(2*2) .... replace each x with 2
g(2) = f(4)
g(2) = undefined

why undefined? Because the graph of f(x) doesn't stretch to x = 4. So f(4) is not defined

what happens when we plug in x = 1 into g(x) ?

Answer 18

Thanks a lot but if we plug in 1 . then 1*1= 1

Answer 19

So, "2x" has to be contained in [-2,2]. thus, Domain of g(x) is [-1,1]. So?

Answer 20

am I correct or did I do a mistake

Answer 21

alright I'll just add these into my notes

Answer 22

plug x = 1 into g(x), to get

g(x) = f(2x)
g(1) = f(2*1) .... replace each x with 1
g(1) = f(2)
g(1) = ???

Answer 23

defined

Answer 24

or undefined

Answer 25

what is f(2) equal to?

Answer 26

g(1)

Answer 27

look at the graph

Answer 28

2

Answer 29

yes, so hopefully you see how g(1) = 2 ?

Answer 30

Yes I agree

Answer 31

how about g(-1) ?

Answer 32

im guessing -2

Answer 33

plug x = -1 into the g(x) function and use the f(x) graph

Answer 34

g(x) = f(2x)
g(-1) = f(2*-1) .... replace each x with 1
g(-1) = f(-2)
g(-1) = -2

Answer 35

f(-2) is NOT equal to -2

Answer 36

draw a vertical line through x = -2 on the graph you have

where does this vertical line cross the f(x) graph? what is the y coordinate of this point?

Answer 37

4

Answer 38

if I do a vertical line there really isnt a y coordinate

Answer 39

i tried >.<

Answer 40

you're looking at the graph where f(x) is a horizontal line through y = 2 right?

Answer 41

yes

Answer 42

you should see that x = -2 corresponds to y = 2 on the graph

so (-2,2) lies on f(x)

Answer 43

agreed?

Answer 44

yes sir

Answer 45

so hopefully you see how g(-1) = 2 as well?

Answer 46

yes

Answer 47

whats next

Answer 48

so as @tkhunny is saying, the domain of f(x) is [-2,2]

and the domain of g(x) shrinks to [-1,1]

so thinks have shrunk horizontally by a factor of 2

Answer 49

the graph of g(x) is simply a horizontal line through y = 2 but it is restricted on the interval \(\Large -1 \le x \le 1\)

Answer 50

thanks a lot im adding this in my notes

Answer 51

np