Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 210701 by noraell last updated on 17/Aug/24

Answered by Berbere last updated on 18/Aug/24

$$f^{\prime }\left(x\right)=3x^2+1⩾1Increasesteictly$$$$fisbijection\mathbb{R}\to \mathbb{R}\Rightarrow f^{-}existe$$$$2f\left(x\right)+3f^{-}\left(x\right)=10$$$$sincefisincreasing\Rightarrow f^{-}increase$$$$\Rightarrow 2f\left(x\right)+3f^{-}\left(x\right)=g\left(x\right)increase$$$$f\left(2\right)=2\Rightarrow f^{-}\left(2\right)=2$$$$2.f\left(2\right)+3f^{-}\left(2\right)=10=g\left(2\right)$$$$sincegincreasex=2isuniquesolution$$$$of2f\left(x\right)+3f^{-}\left(x\right)=10$$$$$$$$$$$$$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com