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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

If

f(x)=e^{-x}

, then

\frac{f(-a)}{f(b)}

is equal to

View answer and explanation

Correct option: D

f(-a-b)

Option D (

f(-a-b)

) is correct because

\frac{f(-a)}{f(b)} = e^{a+b} = f(-a-b)

when

f(x) = e^{-x}

.

More Questions from FUNCTIONS

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

, Choose the correct answer. Which of the following functions are odd functions Let

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S=\left\{x: f(x)=f^{-1}(x)\right\}