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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 $g$.

 Jul 13, 2022
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The min value of x is 0.  Applying f 4 times, the min value is still 0.

 

The max value of x is 2.  Applying f 4 times, the max value is 16.

 

So the range of g is [16,256].

 Jul 13, 2022

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