Question

Let f(x) = x – 2 and g(x) = 3x + 4. What is f(g(x)) ?

2x – 2

3x + 2

4x + 2

2x + 6

Answer 1

Just replace x in f(x) with 3x + 4.

Mean, you have f(x) = x - 2

Here, in place of x put 3x + 4 and check what you will get..

Can you do it???

Answer 2

g(x) = 3x+4
so, f(g(x)) is essentially f(3x+4).. can you do this ?

Answer 3

i don't get it

Answer 4

Where you are facing problem in which step??

Answer 5

seting it up

Answer 6

See, what is g(x) given??

Answer 7

is it a?

Answer 8

Guessing or you have solved it on your own??

Answer 9

guessing

Answer 10

Why??

You don't want to solve this to get the answer???

Answer 11

lol oh sorry

Answer 12

Then??

Answer 13

can you help me set it up

Answer 14

Oh sure why not..
Keep on answering what I am asking you will definitely set it up...

What is value of g(x) given in problem??

Answer 15

3x+4

Answer 16

Yes and what is f(x) given??

Answer 17

x-2

Answer 18

And what we are to be found??

Answer 19

f(g(x))

Answer 20

-2(3x+4)

Answer 21

So, now can I write f(g(x)) as f(3x + 4)??

because you know what is the value of g(x)..

Got or not??

Answer 22

okay

Answer 23

and what do we put in for f

Answer 24

f(g(x)) = f o g(x)
it means that g(x) is subtitute in x-> f(x).. understand?

Answer 25

f(x) = x - 2

f(3x + 4) = ????

We will put nothing in place of f, it is just representing that it is a function..named as f..


In f(x),

In place of x if I put 3x + 4, then what will you get??

Answer 26

which x?

Answer 27

In this "f(x)". you are seeing x??

Answer 28

im lost..

Answer 29

I make you see by a drawing...