Question

If (goh)(x)=x^2+4x+2 and h(x)=x+1, what is g(x)?

Answer 1

@terenzreignz , xD etoh pah

Answer 2

@terenzreignz sawa nah baa?? xDDD

Answer 3

obviously g(x) is of the form ax^2+bx+c, so just subsititude x+1 into that and compare the coefficients after expanding.

Answer 4

Kindly explain it again, in a way that I can understand it, please

Answer 5

jeanicca the middle term is 6x

Answer 6

its not 4x, i think you copied it wrong

Answer 7

Another schoolmate?

Answer 8

classmate this time. xDD

Answer 9

Fancy.

Answer 10

I'm just saying that g(h(x))=a(x+1)^2+b(x+1)+c, you can find the value for a,b and c by comparing the coeffi.s

Answer 11

(goh)(x)=x^2+4x+2 and h(x)=x+1
g(x+1)=x^2+4x+2
for x+1 function is x^2+4x+2
replace x by y-1
g(y)=(y-1)^2+4(y-1)+2
=y^2-2y+1+4y-4+2
=y^2+2y-1
replace y by x again
g(x)=x^2+2x-1

Answer 12

Ohhh? Are you sure it's 6x Derek?

Answer 13

ty jennica

Answer 14

yup, its 6x

Answer 15

is the answer ryt have u checked it?

Answer 16

@ajaysagar thank you so much , you're such a big help :D

Answer 17

welcome

Answer 18

pls will u try to sort out my question??

Answer 19

@ajaysagar thank you so much , you're such a big help :D

Answer 20

ur welcome @Jeannica05

Answer 21

Derek, I think I'm right regarding dun sa given, baka you're the wrong one kasi ang tinutukoy mo is no. 2 letter c

Answer 22

ou nga, ahaah, xDD sorry nag rumble utak ko dun, ahahah

Answer 23

@ajaysagar what sort of question?

Answer 24

physics oscillations chapter

Answer 25

Labo niyo. :/

Answer 26

ahah, xD paexplain naman ng maayos ung sagot , xDD di ko maintidihan sagot ehh, xDDD

Answer 27

hey ty @terenzreignz

Answer 28

Oh sorry, we haven't tackled that yet and I have no idea about that, sorryy..

Answer 29

Call me TJ @ajaysagar and we'll get along splendidly :)

Answer 30

kk..

Answer 31

As for you @derek11111
you know that
g(h(x)) = x² + 4x + 2
yes?

Answer 32

and that h(x) = x + 1

Answer 33

yup,

Answer 34

bakit nga pala g(h(x))?????

Answer 35

definition ng (goh)(x)

Answer 36

continue po. xD

Answer 37

@ajaysagar, are you a Filipino?

Answer 38

kuleet jeanica sinabing ou nga, haahist,m

Answer 39

let's define a new function
f(x) = x - 1

You'll notice that this is just the inverse of h(x) = x + 1
(I hope you've mastered finding inverses)

So...
g(h(f(x))) = goh(f(x)) = ?

Answer 40

So in (goh)(x), replace all x's with x-1

Answer 41

Di naman sya ung tinanog ko sayo ah si terenzreignz kaya, -_-

Answer 42

@Jeannica05 i belong to the land of festivals and cultures

Answer 43

Terence @Jeannica05
or TJ.
Whichever suits you :P

Answer 44

ahah, xD nag away nah

Answer 45

Incredible India

Answer 46

anyway...
goh(x)
para tanggalin yung h, ang gagawin mo, papalitan mo yung x ng INVERSE NG h.

SIGURO NAMAN magaling ka na maghanap ng inverse, kuya? XD
@derek11111 :P

Answer 47

Oww,,,@ajaysagar ok, at derek kasi di ka naman tinatanong eh -_-

Answer 48

Peace guys :)

Answer 49

hhahaha, xDDD hahahahah nangugulo lang wahahaha

Answer 50

tsk tsk.
So ano inverse ng h(x) ?
h(x) = x + 1

Answer 51

Whatever you say derek.

Answer 52

So... everything cool again?

Answer 53

I didn't come here to witness a LQ >:)
<grabs popcorn>

Answer 54

Yeah

Answer 55

hala , biglang tumahimik,. xDD

Answer 56

ganto bah?? xDDD

Answer 57

\[h ^{-1}(x)=-x+1\]

Answer 58

Whatever you say derek.

Answer 59

Oww,,,@ajaysagar ok, at derek kasi di ka naman tinatanong eh -_-

Answer 60

Di naman sya ung tinanog ko sayo ah si terenzreignz kaya, -_-

Answer 61

ahah,,xD parang mali tahahaah, xDDDD

Answer 62

mali :P
h(x) = x + 1
ganito na lang, ha?
isolate x,
h(x) - 1 = x
tapos yung x yung gawin mong \(h^{-1}\)
and yung h(x) gawing x

\[x - 1 = h^{-1}(x)\]

Answer 63

ahhhh, kabaliktaran ng inverse wahahha

Answer 64

kabaliktaran... negative nung inverse.
tapos yang inverse na yan (x - 1)
yan ang ipasok mo sa goh(x)

goh(x) = x² + 4x + 2
makukuha mo yung g(x)

Answer 65

ahhhh,, \[(x-1)^{2}+4(x-1)+2\]

Answer 66

Yup.
simplify tapos yan na ang g(x)

Answer 67

x^2+4x-1

Answer 68

x^2+4x+1 atah. xDDD

Answer 69

bawal manghula.

Answer 70

hahahahah

Answer 71

g(x)=x^2+4x+1 ayan nah ang ans diba??

Answer 72

mali pa rin :P

ano ba ang (x-1)² ?

Answer 73

x^2+1

Answer 74

<staring in disbelief>

Answer 75

ai tanga, xDD hahaha

Answer 76

perfect swuare nga pala

Answer 77

Rectify the situation.
S'il vous plaît

Answer 78

x^2-2x-1

Answer 79

\[\large x^2 -2x \color{red}{+1}\]

Answer 80

aw, hahhahan sorri typo. xDDDD

Answer 81

right, now simplify this again...
\[(x-1)^{2}+4(x-1)+2\]

Answer 82

x^2-2x+1+4x-4+2

Answer 83

okay... combine like terms.

Answer 84

x^2-2x+1

Answer 85

x^2+2x+1

Answer 86

nakakaduling,waaaa

Answer 87

good... now was that so hard? :P

Answer 88

ahha, nakakaduling ang maganda kong sulat, ahahahahah

Answer 89

Whatever you say, Derek :D

Answer 90

ahahahah. xD hala sumbong kita!!! ahhahaha

Answer 91

:3

Answer 92

At least sa akin, may comma :D

Answer 93

waah!

Answer 94

xDDDD, tara kain tau, ahahah kakagutom

Answer 95

way ahead of you... nagpadala na ako ...
bagal mo kasi sumagot eh :P

Answer 96

g(x)=x^2+2x-1 ganyan answer ni ajay,,