Question

what is the inverse function of f(x)=x^5+x^3+x

Answer 1

wait i am doing

Answer 2

ok let g(x) = f^(-1) can you follow me?

Answer 3

yea

Answer 4

im going to substitute -1 to the original function for g

Answer 5

when f has inverse function, it is symmetry at y=x right?

Answer 6

yup

Answer 7

when i change all the y to x and vice verse, im stuck at x=y^5+y^3+1. i don't know what to do next because it seems whatever I do, it ends with y's being all over both sides

Answer 8

in this problem it is really difficult for you to solve if you do like that

Answer 9

is there a way that i can find the inverse, or will the inverse not be a function?

Answer 10

did you learn derivative and integration?

Answer 11

yes. would i have to do one of them

Answer 12

ok let g is inverse of f then f(g(x))=x right?

Answer 13

then take the derivative both side then you can get f'(g(x))g'(x)=1

Answer 14

im not following that part. would i be using the g(-1) from above

Answer 15

follow me?

Answer 16

no just follow me

Answer 17

ok

Answer 18

wait a second i will arrange some more time then i will tell you

Answer 19

ok

Answer 20

hey is it the full question?? any other thing?

Answer 21

i want to see full length of the question

Answer 22

i think maybe thatis not the full length of the question

Answer 23

the question was to just find the inverse of the function f(x)=x^5+x^3+x.

Answer 24

never can't find just that inverse function because we can't arrage it in y after change x to y, we can just know what is g'(a) or what is g(a) , a is some constant

Answer 25

ok. so i guess the inverse would not be a function since that being the only given info and y and x cant be rearrange anymore

Answer 26

i also investigate more to find out what i don't know . keep in touch~

Answer 27

HEY i have looked up my book. so the conculusion is cannot reduce it after change x to y . so x=y^5 + y^3 + y is the inversefunction of initial one