Let f and g be real valued functions defined as `f(x)={{:(7x^(2)+x-8", – InterviewSolution

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1.	Let f and g be real valued functions defined as `f(x)={{:(7x^(2)+x-8",",xle 1),(4x+5",",1lt x le 7),(8x+3",",x gt7):} " " g(x)={{:(\|x\|",",xlt -3),(0",",-3le x lt 2),(x^(2)+4",",xge 2):}` The value of (gof) (0) + (fog) (-3) isA. -8B. 0C. 8D. 16
Answer» Correct Answer - B `(gof)(0)=g(f(0))=g(7(0)^(2)+0-8)` `=g(-8)=\|-8\|=8` and `(fog)(-3)=f(g(-3))=f(0)=7(0)^(2)+0-8=-8` `therefore (gof)(0)+(fog)(-3)=-8+8=0`

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