Which one of the following correctly defines for two real-valued functions and ?

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Which one of the following correctly defines (f+g)(x)(f+g)(x) for two real-valued functions ff and gg? (a) (f+g)(x)=f(x) g(x)(f+g)(x)=f(x)\,g(x) (b) (f+g)(x)=f(x)+g(x)(f+g)(x)=f(x)+g(x) (c) (f+g)(x)=f(g(x))(f+g)(x)=f\bigl(g(x)\bigr) (d) (f+g)(x)=f(x)−g(x)(f+g)(x)=f(x)-g(x)

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