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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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. =)
I guess you've to calculate the 51th derivative of the function, I should try to recognize a pattern in you derivatives.
)= \frac{5- \frac{5- x}{1- x}}{1- \frac{5- x}{1- x}})
Multiply both numerator and denominator by 1- x:
That shows both that f is invertible and that.
I think that the notationQuote:
Originally Posted by wintersoltice
Given that f(x)=
(a) Explain why f has an inverse and show that
(b) Evaluate
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
step3as
step4
step5
Do you understand reply #4?
Becausethat means
.
So.
That would be true if the notation were, instead,Quote:
Originally Posted by SironI guess you've to calculate the 51th derivative of the function
with the parentheses in the exponent.