CBSE Class 12 Mathematics Relations and Functions Q #2183
KNOWLEDGE BASED
REMEMBER
5 Marks Generic-Curriculum LA
Let $f, g : N - \{1\} \to N$ be functions defined by $f(a) = \alpha$, where $\alpha$ is the maximum of the powers of those primes $p$ such that $p^\alpha$ divides $a$, and $g(a) = a + 1$, for all $a \in N - \{1\}$. Then, check whether the function $f + g$ is one-one or onto. [Competency]
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