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Problem

If $$ f(x)=x^{5}+x^{3}+x, \text { find } f^{-1}(…

07:27

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70

Problem 15 Easy Difficulty

Assume that $f$ is a one-to-one function.
(a) If $f(6)=17,$ what is $f^{-1}(17) ?$
(b) If $f^{-1}(3)=2,$ what is $f(2) ?$

Answer

(a) $f^{-1}(17)=6$
(b) $f(2)=3$

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Biocalculus Calculus for the Life Sciences

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Problem 50

Problem 51

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Problem 55

Problem 56

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Video Transcript

so we're given that our function is 1 to 1. Well, if that's true, then if we have f of six is equal to 17 then what is F evaluated at negative seven or F members at 17. So we know that our function has a domain of or inverse function has the main of our range on a range of our domain. So since we have f inverse of 17 this is equal to the domain off F at six. So that is this is equal to fix. And then for port beam of f inverse of three is equal to then what is f about with that too. So that's the same thing. But we're going the opposite direction. So we have to hear I'm here. So our output is our domain, which is

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Biocalculus Calculus for the Life Sciences

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