Question
Asked Dec 22, 2019
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Given f(x) = 6Vx and g(x) = 6x, find the following expressions.
(a) (fo g)(4) (b) (go f)(2) (c) (f o f)(1) (d) (go g)(0)
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Given f(x) = 6Vx and g(x) = 6x, find the following expressions. (a) (fo g)(4) (b) (go f)(2) (c) (f o f)(1) (d) (go g)(0)

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Expert Answer

Step 1

Given:

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f(x) = 6Jx g(x)= 6x

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Step 2

The fog(x) of the given functions is as follows:

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fog(x) = f (g(x))= f(6x) = 6/6x Put x = 4 in above equation: fog(4) = 6,/6(4) = 6/24 = 12/6

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Step 3

The gof(x) of the given functi...

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gof (x) = g(f(x)) = g(VF)=6(6/x)=36x Put x = 2 in above equation : gof (2) = 36/2

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