Function Algebra one

Question

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Let F(x)=sqrt(x) and g(x)=x^{2 Find f(g(f(g(f(8))))).}

Guest May 16, 2018

CPhill · Answer 1 · 2018-05-16T11:30:31

f(8) = sqrt (8)

g (f(8)) = [ sqrt(8) ] ^2 = 8

f (g ( f (8) ) = f (8) = sqrt (8)

g ( f (g ( f (8) ) ) = g (sqrt (8)) = [ sqrt (8) ]^2 = 8

f (g ( f ( g (f (8)) ) ) = f (8) = sqrt (8)