Category: Relation and Functions

Question Number 134506 by bemath last updated on 04/Mar/21 $$\mathrm{Given}\mathrm{g}\left(\mathrm{x}\right)=\frac{\mathrm{x}+11}{\mathrm{x}-1};\mathrm{x}\ne 1$$$$\mathrm{If}\mathrm{f}\left(\mathrm{x}\right)+8(\mathrm{f}\circ \mathrm{g})\left(\mathrm{x}\right)=15-\mathrm{x},\mathrm{find}$$$$\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{f}\left(13\right).$$ Answered by EDWIN88 last updated on 04/Mar/21 $$\mathrm{first}\:\mathrm{step}\:,\:\mathrm{we}\:\mathrm{must}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:$$\{\begin{array}{l}\mathrm{g}\left(2\right)\\ \mathrm{g}\left(13\right)\end{array}$$ \…

Question Number 68873 by mathmax by abdo last updated on 16/Sep/19 $$solve(x^3+1)y^{{}^{\prime }}+(2x+3)y=xcos\left(2x\right)$$ Commented by mathmax by abdo last updated on 20/Sep/19…

Question Number 3156 by prakash jain last updated on 06/Dec/15 $$\mathrm{\Gamma }(-2n)\zeta (-2n)=?$$$$n\in {\mathbb{Z}}^{+}$$ Commented by prakash jain last updated on 06/Dec/15 $$\mathrm{Wolfram}\:\mathrm{alpha} \…

Question Number 68592 by Abdo msup. last updated on 14/Sep/19 $$find\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^2{(n+1)}^3}$$ Commented by Abdo msup. last updated on 16/Sep/19…

Question Number 68466 by mathmax by abdo last updated on 11/Sep/19 $$letf\left(x\right)={\int }_{x^{}}^{x^2-x}arctan\left(e^{-x-t}\right)dt$$$$calculate{f}^{{}^{\prime }}\left(x\right)and{f}^{{}^{\prime }}\left(0\right).$$ Commented by…