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:

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

далее

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