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Question

Let f, g and h be function defined as follows f(x)=x+2,g(x)=3x−1,h(x)=2x, Then ho(gof)

A
6x+10
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B
3x1
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C
10x6
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D
10x+6
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Solution

The correct option is A 6x+10
Given f(x)=x+2,g(x)=3x1,h(x)=2x

gof=3(x+2)1=3x+5, (gof is another representation for g(f(x)) )

Therefore, ho(gof)=2(3x+5)=6x+10

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