Question

ПОМОГИТЕ ПОЖАЛУЙСТА!!!!

Answer 1

$1)\ \ f(u)=u^2\ \ ,\ \ u(x)=2x-1\\\\f(u(x))=f(x)=(2x-1)^2\\\\x=-3:\ \ f(-3)=(-6-1)^2=49\\\\y=u(f(u))=2\cdot f(u)-1=2\cdot u^2-1=2\cdot (2x-1)^2-1\\\\\\2)\ \ f(u)=2u-1\ \ ,\ \ u(x)=x^2\\\\f(u(x))=f(x)=2x^2-1\\\\x-2:\ \ f(2)=2\cdot 4-1=8-1=7\\\\y=u(f(u))=(f(u))^2=(2u-1)^2=(2x^2-1)^2\\\\\\3)\ \ f(u)=\sqrt{u}\ \ ,\ \ u(x)=x-4\\\\f(u(x))=f(x)=\sqrt{x-4}\\\\x=148:\ \ f(148)=\sqrt{148-4}=\sqrt{144}=12\\\\y=u(f(u))=f(u)-4=\sqrt{u}-4=\sqrt{x-4}-4$

$4)\ \ f(u)=u-4\ \ ,\ \ u(x)=\sqrt{x}\\\\f(u(x))=f(x)=\sqrt{x}-4\\\\x=49:\ \ f(49)=\sqrt{49}-4=7-4=3\\\\y=u(f(u))=\sqrt{u-4}=\sqrt{\sqrt{x}-4}$