Question

help please
g(x) = x + 1 and h(x) = x 2 - 4

h[g(x)] = _____.

Answer 1

May I help?

Answer 2

yes

Answer 3

Thanks

Answer 4

Do you know what does \[h[g(x)]\]mean?

Answer 5

no

Answer 6

That means : h is a function of the function g(x)
i.e. replace every x in "h(x)" with the whole function "g(x)".
Write it yourself and show me please.

Answer 7

@braves12

Answer 8

Your " x 2 - 4" is vague. Did you mean "x^2 - 4?" Please clarify this.

You are to find the "composition" of functions h(x) and g(x). Can you find examples of "composite functions" in your textbook or online reading materials?

Answer 9

yes it is "x^2 - 4 and no

Answer 10

So can you do what I mentioned above, braves12?

Answer 11

what do u mean

Answer 12

I mean replace every x in the function h(x) and put g(x), i.e (x+1)

Answer 13

g(x) = x 2 - 4

Answer 14

\[h(x)=x^2-4\]
and
\[g(x)\]

Answer 15

\[g(x)=x+1\]

Answer 16

\[h(x)=(g(x))^2-4=[(x+1)^2]-4\]

Answer 17

Got it?

Answer 18

yea kind of

Answer 19

Can you expand the parentheses and do math?

Answer 20

nope

Answer 21

\[h(x)=(x+1)^2-4=x^2+2x+1-4=x^2+2x\]

Answer 22

ok

Answer 23

sorry
\[-3\]

Answer 24

what

Answer 25

I mean
\[h(x)=x^2+2x-3\]

Answer 26

Did you get it?

Answer 27

nope

Answer 28

Where are you stuck?

Answer 29

when u expanded the parentheses

Answer 30

good!

Answer 31

\[h(x)=(x+1)^2-4\]
start from here?

Answer 32

i dont know how to start from there

Answer 33

Welcome back!

Answer 34

@braves12

Answer 35

ok

Answer 36

so where you want to start?

Answer 37

idk

Answer 38

Do you have a Skype Id?

Answer 39

no

Answer 40

Ok

Answer 41

Let's start here

Answer 42

you know that
g(x)=x+1
h(x)=x^2+4
ok?

Answer 43

Faster respond please!

Answer 44

yes

Answer 45

what if told you: find g(3) and h(4) for me
Can you share your work?

Answer 46

i cant do that]

Answer 47

Where are you stuck?

Answer 48

all of it

Answer 49

For g(3): means replace every x in g(x) and put 3 instead!

Answer 50

WHAT

Answer 51

g(x) is a function of x
we need to calculate this function at a certain point of its variable x
so we want to determine g(x) at 3

Simple now?

Answer 52

kind of

Answer 53

Great!
Happy for that!
I need it 100%

Answer 54

yep

Answer 55

So, depend on your understanding can you believe that?\[g(3)=(3)+1=4\]

Answer 56

yes

Answer 57

Congratulations!

Answer 58

The same thing for h(x) ........ we need h(4)
\[h(4)=(4)^2+4=16+4=20\]
any problem???

Answer 59

nope

Answer 60

nope=don't understand?
or
nope=no problem?

Answer 61

no problem

Answer 62

Great!
So we will do the same game for h(g(x))
instead we remove x in h(x) and put a NUMBER (3 OR 5 OR -1), we will remove it and put a FUNCTION [this function is g(x)]!

Answer 63

do what

Answer 64

are you asleep?

Answer 65

yea

Answer 66

yea about what?
I was waiting and this is not a good evaluation for who are helping you!

Answer 67

that i was asleep

Answer 68

so another time!

Answer 69

ok

Answer 70

Salam!

Answer 71

what

Answer 72

Salam is our greetings, we are Muslims!

Peace be upon you!