If $f(x)=3-x,-4 \leq x \leq 4$, then the domain of $\log _e(f(x))$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f(x)=3-x,-4 \leq x \leq 4

, then the domain of

\log _e(f(x))

View answer and explanation

Correct option: D

[-4,3)

Option D ([-4,3)) is correct because the argument of the logarithm must be positive, and x is bounded by -4 and 4.

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

f(x)=x(4-x)

f^{-1}(x)

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

f(x)=(x+1)^2-1(x \geq-1)

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