JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f

and

g

be two real functions defined by

f(x)=\frac{1}{x+4}, x \neq-4

and

g(x)=(x+4)^3

, then

f / g

is equal to

View answer and explanation

Correct option: B

\frac{1}{(x+4)^4}

Option B (

\frac{1}{(x+4)^4}

) is correct because it represents the division of f(x) by g(x).

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

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f: R \rightarrow R

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