Question Number 135930 by Engr_Jidda last updated on 17/Mar/21
![Given that f(x)= 3x−2 and g(x)=(x/(x−1)) find the domain and range of the following. (1) f^(−1) •g•g^(−1) •f (2) [f(g(x))]^(−1)](Q135930.png)
$${Given}\:{that}\:{f}\left({x}\right)=\:\mathrm{3}{x}−\mathrm{2}\:{and}\:{g}\left({x}\right)=\frac{{x}}{{x}−\mathrm{1}} \\ $$$${find}\:{the}\:{domain}\:{and}\:{range}\:{of}\:{the}\:{following}. \\ $$$$\left(\mathrm{1}\right)\:{f}^{−\mathrm{1}} \bullet{g}\bullet{g}^{−\mathrm{1}} \bullet{f}\:\:\:\:\:\left(\mathrm{2}\right)\:\left[{f}\left({g}\left({x}\right)\right)\right]^{−\mathrm{1}} \\ $$
Answered by dhgt last updated on 04/May/21
Commented by dhgt last updated on 04/May/21
Commented by dhgt last updated on 04/May/21
