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Determine whether the following function is odd or even? f(x) = log(x2+x2+1) - Business Mathematics and Statistics

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प्रश्न

Determine whether the following function is odd or even?

f(x) = `log (x^2 + sqrt(x^2 + 1))`

योग

उत्तर

f(-x) = log((-x)2 + `sqrt((- x)^2 + 1)`

= log `(x^2 + sqrt(x^2 + 1))`

Thus f(-x) = f(x)

∴ f(x) is an even function.

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Functions and Their Graphs
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Differential Calculus - Exercise 5.1 [पृष्ठ १०५]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 5 Differential Calculus
Exercise 5.1 | Q 1. (ii) | पृष्ठ १०५
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