Category: Relation and Functions

Question Number 175674 by infinityaction last updated on 05/Sep/22 Answered by mr W last updated on 05/Sep/22 $$-\frac{b}{2a}=2\Rightarrow b=-4a$$$$f\left(2\right)=4a+2b+c=c-4a$$$$f\left(1\right)=a+b+c=c-3a=f\left(3\right)$$$${f}\left({f}\left(\mathrm{1}\right)\right)={f}\left({f}\left(\mathrm{2}\right)\right) \…

Question Number 175516 by alcohol last updated on 01/Sep/22 Answered by mathocean1 last updated on 01/Sep/22 $$2/100?$$ Terms of Service Privacy Policy Contact:…

Question Number 44351 by Necxx last updated on 27/Sep/18 $$Ifisanevenfunctiondefinedon$$$$theinterval(-5,5)thenavalue$$$$ofxsatisfyingtheequation$$$$f\left(x\right)=f\left(\frac{x+1}{x+2}\right)is$$$$a)\frac{-1+\sqrt{5}}{2}b)\frac{-3+\sqrt{5}}{2}c)\frac{-1-\sqrt{5}}{2}$$$$d)\frac{-3-\sqrt{5}}{2_{}}$$ Commented by…

Question Number 174960 by alcohol last updated on 14/Aug/22 $$solveforallx$$$$\lfloor x^2\rfloor -\lfloor x{\rfloor }^2=100$$ Answered by mr W last updated on 15/Aug/22 $${say}\:{x}={n}+{f}\:{with}\:\mathrm{0}\leqslant{f}<\mathrm{1}…

Question Number 109262 by bemath last updated on 22/Aug/20 $$f\left(x\right)+f(2x+y)+5xy=f(3x-y)+x^2+1$$$$foreveryx,y\in \mathbb{R}.findf\left(10\right)$$ Answered by mr W last updated on 22/Aug/20 $${y}=\mathrm{0}: \…