" let "g'(x)>0" and "f'(x)<0;AA x in R" then "

Let g'(x)gt 0 and f'(x) lt 0 AA x in R , then

Let g'(x)gt 0 and f'(x) lt 0 AA x in R , then

Let f and g be two diffrentiable functions on R such that f'(x) gt 0 and g'(x) lt 0 for all x in R . Then for all x

Let g(x) =1+x-[x] and f(x) ={{:(-1, if, x lt 0),(0, if, x=0),(1, if, x gt 0):} , then (f(g(2009)))/(g(f(2009)) =

Let g(x)=1+x-[x] and f(x)=-1 if x 0, then f|g(x)]=1x>0

Suppose that f(0)=0 and f'(0)=2, and let g(x)=f(-x+f(f(x))). The value of g'(0) is equal to -

Suppose that f(0)=0 and f'(0)=2, and let g(x)=f(-x+f(f(x))). The value of g (0) is equal to

Let f(x) and g(x) be functions which take integers as arguments.Let f(x+y)=f(x)+g(y)+8 for all intege x and y.Let f(x)=x for all negative integers x and let g(8)=17. Find f(0) .

Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" and "g(x)+g(a-x)=4 " then " int_(0)^(a)f(x)g(x)dx is equal to

Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" and "g(x)+g(a-x)=4 " then " int_(0)^(a)f(x)g(x)dx is equal to