If f, g, h are real valued functions defined on R, then prove that (f – InterviewSolution

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If f, g, h are real valued functions defined on R, then prove that (f + g)oh = foh + goh. What can you say about fo(g + h) ? Justify your answer.

Answer»

Let f + g = k

Now k ⊙ h = k(h(x))

= (f + g((h(x))

= f[h(x)] + g [h(x)]

= foh + goh

(i.e.,)(f + g)(o)h = foh + goh

fo(g + h) is also a function

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