Question Number 147942 by mathdanisur last updated on 24/Jul/21
$${if}\:\:\:{f}\left({x}\right)={f}\left({x}−\mathrm{4}\right)+\mathrm{8}\:\:\:{and}\:\:\:{f}\left(\mathrm{2}\right)=\mathrm{4} \\ $$$${find}\:\:\:{f}\left(\mathrm{10}\right)=? \\ $$
Answered by Olaf_Thorendsen last updated on 24/Jul/21
$${f}\left({x}\right)\:=\:{f}\left({x}−\mathrm{4}\right)+\mathrm{8} \\ $$$$ \\ $$$$\bullet\:{f}\left(\mathrm{6}\right)\:=\:{f}\left(\mathrm{6}−\mathrm{4}\right)+\mathrm{8}\:=\:{f}\left(\mathrm{2}\right)+\mathrm{8}\:=\:\mathrm{12} \\ $$$$ \\ $$$$\bullet\:{f}\left(\mathrm{10}\right)\:=\:{f}\left(\mathrm{10}−\mathrm{4}\right)+\mathrm{8}\:=\:{f}\left(\mathrm{6}\right)+\mathrm{8}\:=\:\mathrm{20} \\ $$$$ \\ $$$${f}\left(\mathrm{10}\right)\:=\:\mathrm{20} \\ $$
Commented by mathdanisur last updated on 24/Jul/21
$${Thank}\:{you}\:{Ser} \\ $$
Answered by Rasheed.Sindhi last updated on 25/Jul/21
$${f}\left({x}\right)={f}\left({x}−\mathrm{4}\right)+\mathrm{8}\:;\:{f}\left(\mathrm{2}\right)=\mathrm{4}\:;\:{f}\left(\mathrm{10}\right)=? \\ $$$$\:{x}={x}−\mathrm{4}:\:\: \\ $$$$\:\:\:\:\:\:{f}\left({x}−\mathrm{4}\right)={f}\left({x}−\mathrm{8}\right)+\mathrm{8} \\ $$$${f}\left({x}\right)=\left({f}\left({x}−\mathrm{8}\right)+\mathrm{8}\right)+\mathrm{8}={f}\left({x}−\mathrm{8}\right)+\mathrm{16} \\ $$$$\:\:\:{f}\left(\mathrm{10}\right)={f}\left(\mathrm{10}−\mathrm{8}\right)+\mathrm{16} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:={f}\left(\mathrm{2}\right)+\mathrm{16}=\mathrm{4}+\mathrm{16}=\mathrm{20} \\ $$
Commented by mathdanisur last updated on 25/Jul/21
$${Thank}\:{you}\:{Ser} \\ $$