Let f(x) = 3x - 2, and let g(x) = f(f(f(f(x)))). If the domain of g is 0\leq x\leq 2, compute the range of g.
+118609 Let f(x) = 3x - 2, and let g(x) = f(f(f(f(x)))). If the domain of g is \(0\leq x\leq 2\), compute the range of g.
I am not very comfortable with these but this is what I get.
\(f(x)=3x-2 \quad \{0\le x\le2\}\\ ff(x)=9x-8 \quad \{-2\le x\le4\}\\ fff(x)=27x-26 \quad \{-26\le x\le 28\}\\ ffff(x)=81x-80 \quad \{-728\le x\le 730\}\\\)
When x=-728 g(x)=ffff(x)= -59048
When x=730 g(x)=ffff(x)= 59050
So the range of g is [-59048,59050]
