Question

3. Consider the following two functions: k(w) = w + 3 and (w) = w2. a) Discuss how k{n(w)) is different form n(k(w) in terms of when to square a value. b) Determine k(n(w)) and n(k(w)). Use order of operations to expand and simplify these expressions.

Answer 1

KcW) = W+3 Ken(w))=ncw) +3 =.w? +3 new)=w2 n(K(W))=(kw))? =(W+3) bh knw)) is different from nckCW)) in Kanow)) we have to square only Variable while in nCkCw) we have to square variable with constant ken (W))= W2+3 ken n CkCw))=(W+3)2 =w²+6w+ 9 Scanned with CamScanner