If `-1 le [2x^2 -3] lt 2`, then x belongs to

If 2le||x-2|-1|le3 , then x belongs to interval

If 2le||x-2|-1|le3 , then x belongs to interval

The value of x if 0 le |2x + 3| le 3 belongs to

The value of x if 0 le |2x + 3| le 3 belongs to

f(x)={{:(x^(2),if x le 1),(x, if 1 lt x le 2),(x-3,if x gt 2):} then Lt_(x to 2+) f(x)=

If the function f(x) ={x+1 if x le 1 , 2x+1 if 1 lt x le 2 and g(x) = {x^2 if -1 le x le 2 , x+2 if 2 le x le 3 then the number of roots of the equation f(g(x))=2

If the function f(x) ={x+1 if x le 1 , 2x+1 if 1 lt x le 2 and g(x) = {x^2 if -1 le x le 2 , x+2 if 2 le x le 3 then the number of roots of the equation f(g(x))=2

Let f(x)={(x+1",", x lt1),(2x+1",",1lt x le 2):}" and " g(x)={(x^(3)",", -1 le x lt 2),(x+2",",2 le x le 3):} find fog(x) .

If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","for" -2 le x lt 0),(2x+1,",","for"0 le x le 1),(2bsqrt(x^(2)+3)-1,",","for" 1 lt x le 2):} , then the value of (a+b) is

If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","for" -2 le x lt 0),(2x+1,",","for"0 le x le 1),(2bsqrt(x^(2)+3)-1,",","for" 1 lt x le 2):} , then the value of (a+b) is