If the function f(n) is defined as f(n) = $\frac{n}{n + 1}$ , for all integer values of n such that n ≠ –1, which of the following must be true?

I. f(x + 1) > f (x)
II. f(x) > 0
III. f(x) ≠ 0

Correct answer marked below

I only

Correct

II only

I and II only

I and III only

II and III only

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Explanation

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Official Explanation

Official

If n = 0, then

f(n)=\frac{n}{n+1}=\frac{0}{1}=0

, which negates II and III.…

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What this question tests

Your ability to evaluate and compose functions, including unusual defined operations.

Applying function operations in the wrong order or ignoring domain restrictions.