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Question
Determine whether the following function is odd or even?
f(x) = `log (x^2 + sqrt(x^2 + 1))`
Sum
Solution
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
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Chapter 5: Differential Calculus - Exercise 5.1 [Page 105]
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