Function Composition

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Let f(x) = 2^x. Find sqrt(f(sqrt(f(f(1))))).

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Let f(x) = 2^x. Find sqrt(f(sqrt(f(f(1)))))

sqrt(f(sqrt(f(f(1)))))

=sqrt(f(sqrt(f(2))))

=sqrt(f(sqrt(4)))

=sqrt(f(2))

=sqrt(4)

=2

Melody Nov 8, 2021

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