Question

HELP PLZZZ
f(x) = 1/x
determinate what is f(f(x)) and its domain

Answer 1

try this domain of f is the values of f(x) for which the fuction is defined.
in this case. (3 - x) > = 0 ( square root has to be positive)
so, 3 > =x
so, x<=3.
so, domain = ( - infinity, 3]

Answer 2

f(x)ception

Answer 3

f(f(x)) = f(1/x) = 1/(1/x) = x
Domain = R

Answer 4

isn't the domain R except 0 ?

Answer 5

f(f(x)) = x
What do you think?

Answer 6

welll, f(f(x)) = 1/(1/x). This is the original form, thus x can't be 0

Answer 7

yeah

Answer 8

1/(1/x) = x

Answer 9

x not equal 0

Answer 10

Domain = R-{0}

Answer 11

p/q q not equal 0 remember

Answer 12

lol can anyone confirm whatever 0 is included or excluded? :S its confusing

Answer 13

the limit as x -> 0 of f(f(x)) = 1 ;)

but yes, as is, the domain is restricted by the parts that make it up, not by the algebra that defines an equivalent curve

Answer 14

so 0 is excluded??

Answer 15

see if this helps :

domain of f(f(x)) = range of f(x)

whats the range of f(x) ?

Answer 16

1/x excludes the zero

Answer 17

Well explained @ganeshie8.

Answer 18

OK

Answer 19

why did i type "1" ??

the limit as x -> 0 of f(f(x)) = 0

Answer 20

the domain is R

Answer 21

abay, no it isnt

Answer 22

ganesh, are you reading that as tho its an inverse? or am i misreading it?

Answer 23

i see it now ... whew!! thought i was going senile lol

Answer 24

thx guys!