[" Let "f(x)={[x,:x<0],[1-x,>=0]&g(x)={[x+3,;-1<=x<=1],[x,x>1]],[" On the basis of above information,answer the following questions: "],[" ange of "f(x)" is - "],[[" A) "(-oo,1]," (B) "(-oo,oo)],[" ange of "g(f(x))" is- "," (B) "[1,3)uu(3,oo),(C)[1,x)]]

Let f(x)={x;x =0 and g(x)+{x^(2);x<-1 and 2x+3;-1<=x<=1 and x ; On the basis of above information,answer the following questions Range of f(x) is

If f(x)=|x-3|+2|x-1| and g(x)=-2x^(2)+3x-1 On the basis of above information answer the following questions: Minimum value of f(x) is

Let(x,y,z)=sin^(2)x+sin^(2)y+sin^(2)z. On the basis of above information,answer the following questions :f x+y+z=2 pi, then f(x,y,z)=

Consider a polynomial f(x)=(a-1)x^(2)+ax+a+1. On the basis of above information,answer the following questions: If f(x)>0AA xi nR, then set of values of 'a'is-

Let there are two functions defined of f(x)="min"{|x|,|x-1|} on the basis of above information answer the following question: Points of non-differentiability of f(x) in (-1,1)

Let there are two functions defined of f(x)="min"{|x|,|x-1|} on the basis of above information answer the following question: Points of non-differentiability of f(x) in (-1,1)

If f(x)=(x-2)|x-4| sgn(x)AA x in R (Where sgn( x ) denotes signum function) On the basis of above information answer the following questions: f(x) is monotonically increasing in interval-

If f(x)=(x-2)|x-4| sgn(x)AA x in R (Where sgn( x ) denotes signum function) On the basis of above information answer the following questions: f(x) is monotonically increasing in interval-

If f_r(x),g_r(x),h_r(x),r=1,2,3 are differentiable function and y=|(f_1(x), g_1(x), h_1(x)), (f_2(x), g_2(x), h_2(x)),(f_3(x), g_3(x), h_3(x))| then dy/dx= |(f\'_1(x), g\'_1(x), h\'_1(x)), (f_2(x), g_2(x), h_2(x)),(f_3(x), g_3(x), h_3(x))|+ |(f_1(x), g_1(x), h_1(x)), (f\'_2(x), g\'_2(x), h\'_2(x)),(f_3(x), g_3(x), h_3(x))|+|(f_1(x), g_1(x), h_1(x)), (f_2(x), g_2(x), h_2(x)),(f\'_3(x), g\'_3(x), h\'_3(x))| On the basis of above information, answer the following question: Let f(x)=|(x^4, cosx, sinx),(24, 0, 1),(a, a^2, a^3)| , where a is a constant Then at x= pi/2, d^4/dx^4{f(x)} is (A) 0 (B) a (C) a+a^3 (D) a+a^4

Let f : R -> R is a function satisfying f(2-x) = f(2 + x) and f(20-x)=f(x),AA x in R . On the basis of above information, answer the following questions If f(0)=5 , then minimum possible number of values of x satisfying f(x) = 5 , for x in [0, 170] is