Question

g(x)=2x-1, 1/2g(c)=3
Найти g(4c)

Answer 1

g(x)=2x-1

$frac{1}{2g(c)}=3,\ frac{1}{2(2c-1)}=3,\ frac{1}{4c-2}=3,\ 3(4c-2)=1,\ 12c-6=1,\ 12c=7,\ c=frac{7}{12}$
ОДЗ:

$4c-2neq 0,\ 4cneq 2,\ cneq frac{1}{2}$

далее

$4c=frac{7}{12}*4=frac{7}{3}\ g(4c)=2*frac{7}{3}-1=frac{14}{3}-1=frac{11}{3}$