Category: Relation and Functions

Question Number 185678 by Mingma last updated on 25/Jan/23 Answered by Frix last updated on 25/Jan/23 $$y^3+2y-x=0$$$${\mathrm{Cardano}}^{\prime }\mathrm{s}\mathrm{Formula}$$$${y}=\sqrt[{\mathrm{3}}]{\frac{{x}}{\mathrm{2}}+\sqrt{\frac{{x}^{\mathrm{2}} }{\mathrm{4}}+\frac{\mathrm{8}}{\mathrm{27}}}}−\sqrt[{\mathrm{3}}]{−\frac{{x}}{\mathrm{2}}+\sqrt{\frac{{x}^{\mathrm{2}} }{\mathrm{4}}+\frac{\mathrm{8}}{\mathrm{27}}}} \…

Question Number 119909 by bramlexs22 last updated on 28/Oct/20 $$Givenf\left(x\right)=\frac{px+q}{x+2},q\ne 0$$$$f^{-1}\left(q\right)=-1then{f}^{-1}\left(2q\right)=?$$ Answered by TITA last updated on 28/Oct/20 $${q}={f}\left(−\mathrm{1}\right)\:\:\:\:\:{q}={q}−{p}\:\:{p}=\mathrm{0} \…

Question Number 185423 by alcohol last updated on 21/Jan/23 $$\underset{r=1}{\sum ^n}{3}^{r-1}{sin}^3\left(\frac{\theta }{3^r}\right)=?$$ Answered by witcher3 last updated on 21/Jan/23 $$\mathrm{sin}^{\mathrm{3}}…

Question Number 119815 by bemath last updated on 27/Oct/20 $$Givenf(x+y)=4f\left(x\right).f\left(y\right)for$$$$allrealnumbersxandy.$$$$Iff\left(3\right)=32thenf\left(1\right)=\mathrm{\_}$$ Answered by Olaf last updated on 27/Oct/20 $${f}\left(\mathrm{1}+\mathrm{1}\right)\:=\:\mathrm{4}{f}\left(\mathrm{1}\right){f}\left(\mathrm{1}\right) \…

Question Number 185211 by Rupesh123 last updated on 18/Jan/23 Answered by manolex last updated on 18/Jan/23 $$x$$$$$$ Answered by manolex last…