Let `g(x)=2f(x/2)+f(2-x)a n df^(x)<0AAx in (0,2)dot` Then `g(x)` increases in `(1/2,2)` (b) `(4/3,2)` `(0,2)` (d) `(0,4/3)`

Let g(x)=2f(x/2)+f(2-x) and f''(x)<0 , AA x in (0,2) .Then g(x) increasing in

Let g(x) = 2 f(x/2)+ f(2-x) and f''(x) lt 0 forall x in (0,2) . Then calculate the interval in which g(x) is increasing.

Let g(x)=2f((x)/(2))+f(1-x) and f'(x)<0 in 0<=x<=1 then g(x)

Let g(x) =f(x)-2{f(x)}^2+9{f(x)}^3 for all x in R Then

Let g(x)=f(f(x)) where f(x)={1+x;0<=x<=2} and f(x)={3-x;2

Let f (x)=(x+1) (x+2) (x+3)…..(x+100) and g (x) =f (x) f''(x) -f ('(x)) ^(2). Let n be the numbers of rreal roots of g(x) =0, then:

Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x) .

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