Let `f(x)=|||x|-1|-1| and g(x)-(max f(t): x leq t leq x+1, x in R}` The graph of ` g (x)` is symmetrical about

Let f(x)=sin x and cg(x)={max{f(t),0 pi Then ,g(x) is

Let f(t)=|t-1|-|t|+|t+1|, AA t in R . Find g(x) = max {f(t):x+1letlex+2}, AA x in R . Find g(x) and the area bounded by the curve y=g(x) , the X-axis and the lines x=-3//2 and x=5 .

If f(x)+f(1-x)=2 and g(x)=f(x)-1AAx in R , then g(x) is symmetric about

Let f(x)=x^(3)-x^(2)+x+1 and g(x)={("max "f(t) 0letlex 0lexle1),(3-x 1ltxle2):} then

Suppose f and g are differentiabel functions such that xg (f(x))f'(g (x))g '(x) =f(g(x))g '(f(x)) f'(x) AA x in R and f is positive AA n in R. Also int _( 0)^(x) f (g(t )) dt =1/2 (1-e^(-2x))AA x in R, g (f(0))=1 and h (x) = (g(f (x)))/(f (g(x)))AA x in R. The graph of y =h (x) is symmetric with respect to line:

Suppose f and g are differentiabel functions such that xg (f(x))f'(g (x))g '(x) =(g(x))g '(f(x)) f'(x) AA x in R and f is positive AA n in R. Also int _( 0)^(x) f (g(t )) dt =1/2 (1-e^(-2x))AA x in R, g (f(0))=1 and h (x) = (g(f (x)))/(f (g(x)))AA x in R. The graph of y =h (x) is symmetric with respect to line:

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0