Using the figure below estimate the following Round your ans

Using the figure below, estimate the following. Round your answers to one decimal place. (a) f(g(4)) = (b) g(f(4)) = (c) f(f(6)) = (d) g(g(6)) =

Solution

f(g(4)) :

g(4) is clearly 3.25 or so

And thus f(g(4)) or
f(3.25) = 7.5 approx

7.5

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g(f(4)) :

f(4) = 6.5

And thus g(f(4)) = g(6.5) = 2.4

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f(f(6)) :

f(6) = 3.5

And thus f(f(6)) = f(3.5) = 7.5

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g(g(6)):

g(6) = 2.5 surely

And thus g(g(6)) = g(2.5) = 4.5