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Question

Let f(x)=x2 and g(x)=2x+1 be two real functions. Find (f + g), (f - g) (x), (fg) (x) and (fg)(x) 


Solution

(f+g):R[0,) defined by (f+g)(x)=x2+2x+1=(x+1)2
(fg):RR defined by (fg)(x)=x22x1
(fg):RR defined by (fg)(x)=2x3+x2
(fg):RR defined by (fg)(x)=x22x+1


Mathematics
RD Sharma
Standard XI

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