If the function `f(x) ={x+1 if `x le 1` , 2x+1 if `1 lt x le 2` and g( – InterviewSolution

1.	If the function `f(x) ={x+1 if `x le 1` , 2x+1 if `1 lt x le 2` and g(x) = {`x^2` , `-1 le x le 2` `x+2 `2 le x le 3 ` then the number of roots of the equation `f(g(x))=2`A. 4B. 3C. 2D. 1
Answer» Correct Answer - C `f(g(x))={{:(x^(2)+1,-1lexle1),(2x^(2)+1,1ltxlesqrt2):}` `f(g(x))=2 rArr x^(2)+1=2 and 2x^(2)+1=2` `rArr" "x=pm 1, x=pm(1)/(sqrt2)` No. of solutions = 2

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