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Find the domain of the function …

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Find the domain of the function f(x)= x2 + 3x +5 / x2 - 5x +4 { Example 21 of Ncert Ch 2 } EXPLAIN

Posted by Akash Pandey 5 years, 6 months ago

CBSE > Class 11 > Mathematics

2 answers

Shreya Panigrahi 5 years, 6 months ago

The given function should be true for all values. Splitting the denominator, we get x=1,4. This implies that when we put the values 1 and 4 in the equation of the denominator,the value is zero. A fraction with zero as the denominator cannot be defined. If we will put any other value other than 1 and 4,we get a fraction with non-zero denominator which is defined. So the function is true for all values of x other than 1 and 4. Hence the domain is R-{1,4}.

Vishal Gupta 5 years, 6 months ago

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