Consider the functions f(x) and g(x), both defined from `R rarrR` and are defined as `f(x)=2x-x^(2) and g(x)=x^(n)` where `n in N`. If the area between f(x) and g(x) is 1/2, then the value of n is

Consider the functions f (x) and g (x), both defined from R-> R and are defined as f(x)=2x-x^2 and g (x)=x^n wherc n in N. Ifthe area between f(x) and g (x) in first quadrant is 1/2 then n is a divisor of (A)12 (B) 15 (C) 20 (D)30

f and g are functions defined from R rarr R If f(x-2)=x^(2) and g(x)=(x+2)^(2) then f(x)+g(x-2)=?

Consider the function f (x) and g (x), both defined from R to R f (x) = (x ^(3))/(2 )+1 -x int _(0)^(x) g (t) dt and g (x) =x - int _(0) ^(1) f (t) dt, then The number of points of intersection of f (x) and g (x) is/are:

Consider the function f (x) and g (x), both defined from R to R f (x) = (x ^(3))/(2 )+1 -x int _(0)^(x) g (t) dt and g (x) =x - int _(0) ^(1) f (t) dt, then The number of points of intersection of f (x) and g (x) is/are:

If f:R rarrR and g:R rarrR are defined by f(x)=2x+3, g(x)=x^(2)+7 then the value of x for which f[g(x)]=25 are

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find f+g

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find f-g

Consider the function f (x) and g (x), both defined from R to R f (x) = (x ^(3))/(2 )+1 -x int _(0)^(x) g (t) dt and g (x) =x - int _(0) ^(1) f (t) dt, then minimum value of f (x) is:

If f:R rarrR, g:R rarrR are defined by f(x)=3x-2, g(x)=x^(2)+1 , then (fog)(x^(2)+1)=

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find (f)/(g) .