Question

f : R—>R, g : R—>R, h : R—>R are functions. Prove:(f+g)oh= foh+goh

Answer 1

(f + g)oh = foh + goh

If we take L.H.S.

L.H.S. = (f + g)oh

= (f + g)h(x)

= fh(x) + gh(x)

= foh + goh = R.H.S.

Thus, (f + g)oh = foh + goh...●

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Hope it was helpful.