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Question

If f(x)=e2x+2 then f(a)f(b) is equal to

A
f(a+b)e4
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B
f(a+b)e2
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C
f(a+b)
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D
None of these
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Solution

The correct option is B f(a+b)e2
f(x)=e2x+2
f(a)=e2a+2
f(b)=e2b+2
f(a+b)=e2(a+b)+2 ........(1)

Now f(a)f(b)=e2a+2e2b+2

f(a)f(b)=e2a+2+2b+2=e2a+2b+2e2=f(a+b)e2 from (1)

Hence,f(a)f(b)=f(a+b)e2

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