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Question

If fx=e-x, then f-afb is equal to


A

fa+b

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B

fa-b

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C

f-a+b

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D

f-a-b

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Solution

The correct option is D

f-a-b


Explanation for the correct option.

Find the value of the given expression.

For the function fx=e-x, the value of f-afb is given as:

f-afb=e--ae-b=eae-b=ea--b[aman=am-n]=ea+b=e--a-b=f-a-b[fx=e-x]

Hence, the correct option is D.


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