Let `f(x)={x-1,-1lt=x<0 and x^2,0lt=xlt=1, g(x)=sinx and h(x)=f(|g(x)|)+[f(g(x))` Then

Let f(x) = {(ax+1, x lt 1), (3, x=1), (bx^2+1, x gt 1):} . For what values of a and b is f(x) continuous at x = 1 ?

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) .

Let f(x)={:{(x+1,x gt 0),(x-1,x lt 0):}

Let f(x)=1+|x|, x lt -1 [x], x ge -1 , where [.] denotes the greatest integer function. Then f{f(-2,3)} is equal to

Let f(x)=[|x|-|x-1|]^(2) What is f'(x) equal to when 0lt xlt1 ?

Let f(x)={(tan^(-1)x, , |x|ge1),((x^(2)-1)/4, , |x|lt1):} then domain of f'(x) is

Let f(x)={(tan^(-1)x, , |x|ge1),((x^(2)-1)/4, , |x|lt1):} then domain of f'(x) is