Let `f(x)="max"(1+sinx ,1,1-cosx),x in [0,2pi],a n dg(x)=max{1,|x-1|}, x in Rdot` Then (a) `g(f(0))=1` (b) `g(f(1))=1` (c) `f(f(1))=1` (d) `f(g(0))+1sin1`

Let f(x) = |{:(cos x ,1,0 ),(1,2cosx,1),(0,1,2cosx):}| then

Let f(x) = a x^2 + bx + c , where a, b, c in R, a!=0 . Suppose |f(x)| leq1, x in [0,1] , then

If f(x)= (x-1)/(x+1) , Then show that f(-(1)/(x))= (-1)/(f(x))

f(x)= x, g(x)= (1)/(x) and h(x)= f(x) g(x). If h(x) = 1 then…….

Let F(x)=int_(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)] , then

If f(x)= {(x",",x in {0, 1}),(1",",x ge 1):} then, ……

f(x,y) = (max (x,y))^((min(x,y))) and g(x,y)= max (x,y) - min (x,y) then f(g(-1,-3/2),g(-4,-1.75))=.........

Let f(x)=x^2a n dg(x)=sinxfora l lx in Rdot Then the set of all x satisfying (fogogof)(x)=(gogof)(x),w h e r e(fog)(x)=f(g(x)), is (a) +-sqrt(npi),n in {0,1,2, dot} (b) +-sqrt(npi),n in {1,2, dot} (c) pi/2+2npi,n in { ,-2,-1,0,1,2} (d) 2npi,n in { ,-2,-1,0,1,2, }

Let f(x)=x^(2)-2x and g(x)=f(f(x)-1)+f(5-f(x)), then