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)=?

If f:R rarr R and g:R rarr R defined by f(x)=2x+3 and g(x)=x^(2)+7 then the values of x for which f(g(x))=25 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:

consider the function f(x)=(x^(2))/(x^(2)-1) If f is defined from R-{-1,1}rarrR_(1) then f is

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 to R and g:R to R are defined by f(x)=(2x+3) and g(x)=x^(2)+7 , then the values of x such that g(f(x))=8 are

If f: R to R and g: R to R are defined by f(x)=2x+3 and g(x)=x^(2)+7 , then the values of x such that g(f(x))=8 are

Let R be the set of real numbers and the functions f:R rarr R and g:R rarr R be defined by f(x)=x^(2)+2x-3 and g(x)=x+1 Then the value of x for which f(g(x))=g(f(x)) is

If the functions of f and g are defined by f(x)=3x-4 and g(x)=2+3x then g^(-1)(f^(-1)(5))