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, g and h be defined as follows: f(x)={xsin(1/x) for -1<=x<=1 and x != 0 and 0 for x=0 and g(x)={x^2sin(1/x) for -1<=x<=1 and x !=0, 0 for x=0 h(x)=|x|^3 for -1<=x<=1 Which of the following is/are true?

The fuction f(x) is defined as follows: f(x) ={(2x-3,x lt 2),(x-1, x ge 2):} Prove that f(x) is continuous x at =2.

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: 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 ?

Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le 0 =6x+5x^(2), x gt 0 then at x=0 ,f(x)

Let the function f be defined by f(x)=((2x+1)/(1-3x)) then f^(-1)(x) is