Question Number 24981 by tawa tawa last updated on 30/Nov/17 Commented by tawa tawa last updated on 30/Nov/17 $$\mathrm{please}\:\mathrm{help}. \\ $$ Answered by kaivan.ahmadi last…
Question Number 90287 by jagoll last updated on 22/Apr/20 $$\mathrm{f}\left(\mathrm{x}\right)\:=\:\begin{cases}{\mathrm{x}^{\mathrm{2}} −\mathrm{2x}+\mathrm{6}\:,\:\mathrm{x}\geqslant\mathrm{1}}\\{\mathrm{x}^{\mathrm{4}} +\mathrm{2x}^{\mathrm{3}} +\mathrm{2}\:,\mathrm{x}<\mathrm{1}}\end{cases} \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{there}\:\mathrm{is}\:\mathrm{a}\:\mathrm{number}\: \\ $$$$\mathrm{c}\:\in\:\left(−\mathrm{2},\mathrm{3}\right)\:\mathrm{such}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{c}\right)\:=\:\mathrm{4} \\ $$ Answered by MJS last updated on…
Question Number 155809 by zainaltanjung last updated on 05/Oct/21 $$\:\:\mathrm{Given}\:\mathrm{that}\:{f}\circ{g}\:=\:\frac{{x}^{\mathrm{2}} }{\mathrm{2}{x}^{\mathrm{2}} \:−\:{x}\:+\:\mathrm{4}}\:\:\mathrm{and} \\ $$$$\:\:{g}\left({x}\right)\:=\:\frac{{x}}{{x}\:−\:\mathrm{2}},\:\mathrm{find}\:{f}\left({x}\right)\:? \\ $$$$ \\ $$ Answered by PRITHWISH SEN 2 last updated…
Question Number 90259 by john santu last updated on 22/Apr/20 $${a}\:{function}\:{f}\:{is}\:{defined}\:{on}\: \\ $$$${the}\:{positive}\:{integers}\:{satisfies}\: \\ $$$${f}\left(\mathrm{1}\right)\:=\:\mathrm{1002}\:,\:\&\:{f}\left(\mathrm{1}\right)+{f}\left(\mathrm{2}\right)+{f}\left(\mathrm{3}\right)+ \\ $$$$…\:+{f}\left({n}\right)\:=\:{n}^{\mathrm{2}} \:{f}\left({n}\right)\:. \\ $$$${find}\:{f}\left(\mathrm{2003}\right)\: \\ $$ Answered by mr…
Question Number 24612 by rish@bh last updated on 22/Nov/17 $$\mathrm{If}\:{f}\left({x}\right)\:=\:\left[{x}\right]\:{then}\:{is}\:{fof}\left({x}\right)\:=\:{f}\left({x}\right)? \\ $$$$ \\ $$ Answered by jota last updated on 22/Nov/17 $${Yes}.\:\left[{x}\right]>=\:\mathrm{0}\:\Rightarrow\:\left[\left[{x}\right]\right]=\left[{x}\right] \\ $$ Commented…
Question Number 89906 by Ar Brandon last updated on 19/Apr/20 $${Show}\:{that}\: \\ $$$$\mathrm{2}{x}^{\mathrm{7}} −\mathrm{4}{x}^{\mathrm{4}} +\mathrm{4}{x}^{\mathrm{2}} =\mathrm{6}{x}^{\mathrm{6}} +\mathrm{3} \\ $$$${Has}\:{no}\:{solution}\:{in}\:\mathbb{N} \\ $$ Answered by MJS last…
Question Number 24352 by tawa tawa last updated on 16/Nov/17 $$\mathrm{for}\:\mathrm{what}\:\mathrm{value}\:\mathrm{of}\:\mathrm{y}\:\mathrm{will}\:\:\frac{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{4}}{\mathrm{6x}\:−\:\mathrm{8}}\:\:\mathrm{lies}\:\mathrm{between}\:\mathrm{a}\:\mathrm{positive}\:\mathrm{integer}. \\ $$ Commented by math solver last updated on 16/Nov/17 $$\mathrm{might}\:\mathrm{be}\:\mathrm{it}\:\mathrm{is}\:\mathrm{y}=\:\mathrm{x}^{\mathrm{2}} +\mathrm{4}/\mathrm{6x}−\mathrm{8}\:……. \\…
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Question Number 89768 by john santu last updated on 19/Apr/20 $${t}\left({n}\right)\:−\:{t}\left({n}−\mathrm{1}\right)\:=\:{n}\:\: \\ $$$${for}\:{n}\:>\:\mathrm{0}\:{and}\:{t}\left(\mathrm{0}\right)\:=\:\mathrm{1}\: \\ $$$${find}\:{t}\left({n}\right)\: \\ $$ Answered by john santu last updated on 19/Apr/20…
Question Number 24227 by tawa tawa last updated on 14/Nov/17 Commented by tawa tawa last updated on 14/Nov/17 $$\mathrm{please}\:\mathrm{help}. \\ $$ Answered by $@ty@m last…