Given that

f(x)=

(a) Explain why f has an inverse and show that .

(b) Evaluate .

i can do part a,

but have no idea how to start for part b. (Speechless)

any help is appreciated. =)

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- Aug 7th 2011, 01:54 AMwintersolticequestions on functions
Given that

f(x)=

(a) Explain why f has an inverse and show that .

(b) Evaluate .

i can do part a,

but have no idea how to start for part b. (Speechless)

any help is appreciated. =) - Aug 7th 2011, 02:33 AMSironRe: questions on functions
I guess you've to calculate the 51th derivative of the function , I should try to recognize a pattern in you derivatives.

- Aug 7th 2011, 04:06 AMHallsofIvyRe: questions on functions

Multiply both numerator and denominator by 1- x:

That shows both that f is invertible and that . - Aug 7th 2011, 04:06 AMPlatoRe: questions on functions
- Aug 7th 2011, 04:09 AMHallsofIvyRe: questions on functions
Good point! And the fact that f is its own inverse makes that trivial!

- Aug 7th 2011, 05:00 AMwintersolticeRe: questions on functions
i found the solution from my school's online portal.

but i don't understand the steps. i mean from step 2 to 3.

step1

step2

step3 as

step4

step5 - Aug 7th 2011, 05:11 AMPlatoRe: questions on functions
Do you understand reply #4?

Because that means .

So . - Aug 8th 2011, 06:18 AMAckbeetRe: questions on functions