Question

Help! Will give a medal!

Answer 1

what do you need help with?

Answer 2

Let me attach the file 1 min

Answer 3

oh really sorry idk the answer only in 8th grade

Answer 4

nvm

Answer 5

@hartnn

Answer 6

@ganeshie8

Answer 7

Does anyone know functions? @ganeshie8

Answer 8

sorry i couldnt open the file... im on some junk unix machine :|

Answer 9

Me too.

Answer 10

Well let me type the question then

Answer 11

okie or a pic wud help too :)

Answer 12

I saved it in a word file and attached it does it work here in openstudy

Answer 13

it works for most other users,

for now im on a different machine. if u can, take a snapshot,
save it as png/jpg file and attach the file

Answer 14

It is a png img see if it works

Answer 15

I saved that in paint

Answer 16

wait

Answer 17

here I opened the file, and this is what is says:
f:x-->2x-1 and g:x-->\(x^2\)-1
Find, in their simplest forms,
a.) \(f^{-1}\)(x) b.)gf(x)

Answer 18

yes

Answer 19

this is the pic

Answer 20

yes that is the pic

Answer 21

ty :)
you need to find inverse function of f

Answer 22

Yes i got (x-1)/2

Answer 23

is that right?

Answer 24

f:x-->2x-1

its same as :-
f(x) = 2x-1

or

y = 2x-1

solve for x

Answer 25

Got the point of inverse functions

Answer 26

(X-1)/2

Answer 27

y = 2x-1

y+1 = 2x

(y+1)/2 = x

switch x and y
y = 2x-1

(x+1)/2 = y

so the inverse function of f is,

\(f^{-1} (x) = (x+1)/2\)

Answer 28

And can u help me with the next question gf(X) composite function

Answer 29

g*f(x) = g(x) * f(x)

Answer 30

simply multiply both the functions
and simplify them

Answer 31

ohk let me do it 1 min

Answer 32

wait a sec,
is it g(f(x)) ?

or g * f(x) ?

Answer 33

gf(x) is given in the question probably i think it is g(f(x)) because the answer is 4x^2-4x
But i don't knw how they got it

Answer 34

then its definitely g(f(x)),

g(f(x)) = g(_____)

Answer 35

fill the _____ wid the value of f(x)

Answer 36

g(2x-1)

Answer 37

Yes !

Answer 38

g(x) = x^2 - 1

g(2x-1) = ?

Answer 39

will it be 2(x^2-1)-1 ?

Answer 40

g(x) = x^2 - 1

g(2x-1) = (2x-1)^2 - 1

Answer 41

but that does not simplify to the answer so it must not be

Answer 42

we just replace \( x\) wid \(2x-1\)

Answer 43

Ohk u r of a great help thank u and wish u a happy diwali :)!!

Answer 44

I got the point

Answer 45

you will need to use the (a-b)^2 formula....
(a-b)^2 = a^2 - 2ab + b^2

Answer 46

ohh np :)
happy divali to you too !

Answer 47

I got the exapansion

Answer 48

thank u