Menu Close

f-x-1-x-3-4-1-7-find-f-1-x-

Tinku Tara 0 Comments
Pin




Question Number 12855 by kunalshukla95040 last updated on 04/May/17
f(x)=[1−(x−3)^4 ]^(1/7) find f^(−1) (x).
f(x)=[1−(x−3)4]1/7findf−1(x).
Answered by linkelly0615 last updated on 04/May/17
f(x)=[1−(x−3)^4 ]^(1/7) ⇒(f(x))^7 =1−(x−3)^4 ⇒1−(f(x))^7 =(x−3)^4 ⇒[1−(f(x))^7 ]^(1/4) =x−3 ⇒[1−(f(x))^7 ]^(1/4) +3=x ∵f^(−1) (f(x))=x ∴f^(−1) (x)=[1−x^7 ]^(1/4) +3
f(x)=[1−(x−3)4]1/7⇒(f(x))7=1−(x−3)4⇒1−(f(x))7=(x−3)4⇒[1−(f(x))7]1/4=x−3⇒[1−(f(x))7]1/4+3=x∵f−1(f(x))=x∴f−1(x)=[1−x7]1/4+3

Pin

Leave a Reply

Your email address will not be published. Required fields are marked *