Question
Asked Oct 7, 2019
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use abs (x) for |x|, Given that f(x)=|x| and g(x)=8x−1g, calculate

(a) f∘g(x)=    

(b) g∘f(x)=    

(c) f∘f(x)=    

(d) g∘g(x)= 

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Expert Answer

Step 1

 Two functions f(x) and g(x) are given

f(x)x.8(x)8x-1
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f(x)x.8(x)8x-1

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Step 2

f(g(x)) can be obtained by replacing x by g(x) in f(x) and g(f(x)) can be obtained by replacing x by f(x) in g(x)

(fog (x)=(s(x))|8(x) )= |8x -1
(gofx)8 (f(x))8(|x1) = 8]a|-1|
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(fog (x)=(s(x))|8(x) )= |8x -1 (gofx)8 (f(x))8(|x1) = 8]a|-1|

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Step 3

f(f(x)) can be obtained by replacing x by f(x) in f(x) and g...

(g og)(x)g(g(x))=g(8x -1)=8(8x -1)-1 64x-9
_
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(g og)(x)g(g(x))=g(8x -1)=8(8x -1)-1 64x-9 _

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