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Question Number 32490 by NECx last updated on 26/Mar/18
$${if}\:{f}\left({x}\right)=\mid{x}\mid\:{and}\:{g}\left({x}\right)=\mathrm{2}{x}−\mathrm{3}.{Find} \\ $$$${the}\:{domain}\:{of}\:{gof} \\ $$
Answered by MJS last updated on 26/Mar/18
$${g}\circ{f}={g}\left({f}\left({x}\right)\right)=\mathrm{2}\mid{x}\mid−\mathrm{3} \\ $$$$\mathrm{domain}:\:{x}\in\mathbb{R} \\ $$$$\mathrm{range}:\:{x}\in\mathbb{R}\wedge{x}\geqq−\mathrm{3} \\ $$