Question Number 219377 by golsendro last updated on 23/Apr/25
$$\:\mathrm{If}\:\left(\left(\mathrm{fog}\right)^{−\mathrm{1}} \mathrm{of}\right)\left(\mathrm{x}\right)=\:\mathrm{3x}−\mathrm{8} \\ $$$$\:\mathrm{find}\:\mathrm{g}\left(\mathrm{5}\right). \\ $$
Answered by Hanuda354 last updated on 23/Apr/25
$${g}^{−\mathrm{1}} \left({x}\right)\:=\:\mathrm{3}{x}−\mathrm{8} \\ $$$$\:\:\:\:\:{g}\left({x}\right)\:=\:\frac{{x}+\mathrm{8}}{\mathrm{3}} \\ $$$$\:\:\:\:\:{g}\left(\mathrm{5}\right)\:=\:\frac{\mathrm{13}}{\mathrm{3}} \\ $$