Question 139562
Remember (f o g)(x) is the same as f(g(x))



So (f o g)(16)=f(g(16))



So {{{g(16)=log(4,(16))=2}}} (note: {{{log(4,(16))}}} asks: "4 raised to what power gives me 16?". Since {{{4^2=16}}}, this means {{{log(4,(16))=2}}} )



So g(16)=2


Now this means that f(g(16))=f(2)


{{{f(2)=3^2=9}}}



So f(g(16))=9