If `f(x)=-3x+2,xlt1`; `x^2/2+7,xgeq1` then which of the following is not true

If f(x)={(1,xlt0),(1+sinx,0 le x le(pi)/2),(2+(x-(pi)/2),(pi)/2lex):} then which of the following is true for f(x)?

If y=x+x^(2)+x^(3)+.... up to infinite terms where xlt1 , then which one of the following is correct?

If f(x)={(x^2)/2 , if 0lt=xlt=1 2x^2-3x+3/2 , if 1

f(x)=x+1, x<0, f(x)=x^2, xgeq0 and g(x)={x^3, x<1, 2x-1, xgeq1 Then find f(g(x)) and find its domain and range.

if f(x) ={{:(x+2 ,if xlt0),(-x^(2)-2 ,if 0le xlt1),( x ,if xge1):} then the number of points of discontinuity of |f(x)|is (a) 1 (b) 2 (c) 3 (d) none of these

f(x)={x+1, x<0,x^2, xgeq0 and g(x)={x^3, x<1, 2x-1, xgeq1 Then find f(g(x)) and find its domain and range.

If f(x) ={{:(x+2,xlt0),(-x^(2)-2,0le xlt1),( x, xge1):} then the number of points of discontinuity of |f(x)|is

If f(x)=x^2 for xgeq1 and x for x<0 ,then fof(x) is given by