Number of integers in the range of function f x -100-3 x6-12x4-5x2-1 is -I- then the value of I-11 is equal to

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Standard XII

Mathematics

Definition of Functions

Number of int...

Question

Number of integers in the range of function $f (x) = \frac{100}{3 (x^{6} + 12 x^{4} + 5 x^{2} + 1)}$ is $^{'} I^{'},$ then the value of $\frac{I}{11}$ is equal to

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Solution

The correct option is D $3$
The denominator is a polynomial which will take only positive values greater than or equal to 1. But $f (x)$ will be an integer only while denominator is less than the numerator. But the denominator must be a multiple of 3. There are 33 such integers less than 100.

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Which of the following option is the only correct combination?

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Then which of the following statements are true?

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Number of integers in the range of function f(x)=1003(x6+12x4+5x2+1) is ′I′, then the value of I11 is equal to

The correct option is D 3The denominator is a polynomial which will take only positive values greater than or equal to 1. But f(x) will be an integer only while denominator is less than the numerator. But the denominator must be a multiple of 3. There are 33 such integers less than 100.

Number of integers in the range of function $f (x) = \frac{100}{3 (x^{6} + 12 x^{4} + 5 x^{2} + 1)}$ is $^{'} I^{'},$ then the value of $\frac{I}{11}$ is equal to

The correct option is D $3$
The denominator is a polynomial which will take only positive values greater than or equal to 1. But $f (x)$ will be an integer only while denominator is less than the numerator. But the denominator must be a multiple of 3. There are 33 such integers less than 100.