Consider two functions, f(x) and g(x) defined as under: `f(x)={1+x^3,x < 0 x^2-1,x >= 0 and g(x) ={(x-1)^(1/3) (x+1)^(1/2), x < 0 x >= 0.` Evaluate g(f(x)).

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))

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))

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:

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(x) and g(x) are two functions with g (x) = x - 1/x and fog (x) = x^(3) -1/x^(3) then f(x) is

If f(x) and g(x) are two functions with g (x) = x - 1/x and fog (x) =x^(3) -1/x^(3) then f(x) is

Function f and g defined on R-{0}rarrR as f(x)=x and g(x)=1/x" then "f.g(x) = ...... .

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