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Question

Let f(x)=210x+1 and g(x)=310x1. If (fog)(x)=x, then x is equal to.

A
2101210310
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B
1310210310
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C
1210310210
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D
3101310210
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Solution

The correct option is B 1210310210
f(x)=210x+1
g(x)=310x1

f(g(x))=x
f(310x1)=210(310x1)+1=x
610x210+1=x
x(6101)=2101
x=21016101
x=1210310210

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