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. any help is appreciated. =)
Last edited by wintersoltice; August 7th 2011 at 01:05 AM.
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I guess you've to calculate the 51th derivative of the function , I should try to recognize a pattern in you derivatives.
Multiply both numerator and denominator by 1- x: That shows both that f is invertible and that .
Originally Posted by wintersoltice Given that f(x)= (a) Explain why f has an inverse and show that . (b) Evaluate . I think that the notation refers to function composition. For example:
Good point! And the fact that f is its own inverse makes that trivial!
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
Do you understand reply #4? Because that means . So .
Originally Posted by Siron I guess you've to calculate the 51th derivative of the function , I should try to recognize a pattern in you derivatives. That would be true if the notation were, instead, with the parentheses in the exponent.
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