Question

help!


http://prntscr.com/1at5k0

Answer 1

do u know how to find the inver4se function?

Answer 2

the range of a function is the domain of the inverse

Answer 3

i knew it but i cannot remember it clearly now
can you tell

Answer 4

@julian25

Answer 5

what's the range of a function?

Answer 6

the y values

Answer 7

right, so let's plug a few values in "x", and let's see what "y" becomes

Answer 8

ok..

Answer 9

let's say
x = 10, 1,000, 1,000,000

so y becomes \(\cfrac{1}{9},\cfrac{1}{999},\cfrac{1}{999,999}\)

Answer 10

yeah

Answer 11

1/999,999 is really LESS than 1

Answer 12

ahan...

Answer 13

let's say
x = -10, -1,000, -1,000,000
y becomes \(-\cfrac{1}{11},-\cfrac{1}{1,001},-\cfrac{1}{1,000,001} \)

Answer 14

so, - 1/1,000,001 is really LESS than -1

Answer 15

both of those values are a fraction, not 0, so, they're NOT 0, but LESS than -1 or 1

Answer 16

and notice that the "numerator" never changed

Answer 17

so, what do you think is the range from the choices given?

Answer 18

@jdoe0001 A ?

Answer 19

well, it says
all real numbers, but 0 or \(\pm \infty\)

Answer 20

well, -10 is NOT 0, but is a real number, and "y" never became -10, or 10 or even 2 or -2

Answer 21

i am not getting anything :(

Answer 22

well, let's read B)
it says
the set of all rational number BUT 0

let's read C)
all rational fractions \(\large \frac{p}{q}\) where is always p=1, and q is never 0

let's read D)
all possible rational numbers

so, which one do you think?

Answer 23

@jdoe0001 i think C

Answer 24

hmmmm, what makes "C" so attractive?

Answer 25

let's read it again

Answer 26

ok

Answer 27

\(\large \frac{p}{q}\)
where "p" is always 1, so really \(\large \frac{1}{q}\)
and "q" is never 0

well, originally it said that "x" was the "set of all integers BUT 1"
if "x" becomes 1, "q" turns to 0
that is "x-1" x= 0 "1-1 = 0"

Answer 28

so, with THAT RESTRICTION that "x" is "the set of all integers BUT 1"
pretty much guarantees that "q" in \(\frac{p}{q} \) NEVER becomes 0

Answer 29

yes

Answer 30

so, that's your range, a bunch of fractions, which are NEVER -1 OR 1 ever closing in to 0 but never getting to 0 :)

Answer 31

so the answer is C?

Answer 32

from the restrictions and notation, yes

Answer 33

ah finally! thanks a ton :)

Answer 34

yw