Let the function `f(x` be defined as follows: `f(x)={x^3+x^2-10 x ,-1lt=x<0cosx ,0lt=x

Let the function f(x) be defined as follows: f(x)={x^(3)+x^(2)-10x,-1lexle0 cosx,0lexlepi//2 1+sin x, pi//2 lexlepi

Let the function f(x) be defined as follows: f(x)={x^(3)+x^(2)-10x,-1lexle0 cosx,0lexlepi//2 1+sin x, pi//2 lexlepi

A function is defined as follows f(x)={:{(x^(3),, x^(2)lt1),(x, , x^(2)ge 1):} then function is

A function is defined as follows f(x)={:{(x^(3),, x^(2)lt1),(x, , x^(2)ge 1):} then function is

A function is defined as follows f(x)={x^(3),x^(2)<1 and x,x^(2)<=1 then function is

Let the function f be defined by f(x)={(3x0lexle1),(-3x+51ltxle2):} , then:

Let the function f: R to R be defined by f(x)=x^(3)-x^(2)+(x-1) sin x and "let" g: R to R be an arbitrary function Let f g: R to R be the function defined by (fg)(x)=f(x)g(x) . Then which of the folloiwng statements is/are TRUE ?