Functions Question 441
Question: If $ f(x)={e^{-x}}, $ then $ \frac{f(-a)}{f(b)} $ is equal to
Options:
A) $ f(a+b) $
B) $ f(a-b) $
C) $ f(-a+b) $
D) $ f(-a-b) $
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Answer:
Correct Answer: D
Solution:
[d] $ \frac{f(-a)}{f(b)}=\frac{e^{a}}{{e^{-b}}}=e^{a}e^{b}={e^{a+b}}={e^{-(-a-b)}} $ $ =f(-a-b) $