If `f: R rightarrow R^(+)` is the mapping defined by `f(x)=x^(2),` then which one is true:

f:R rarr R defined by f(x)=x^(2)+5

If f:Rto R be mapping defined by f(x)=x^(2)+5 , then f^(-1)(x) is equal to

If f:R to R is defined by f(x)=|x|, then

If f:R to R be a mapping defined by f(x)=x^(3)+5 , then f^(-1) (x) is equal to

If the function F: R to R is defined by f(x)=|x|(x-sinx) , then which o f the following statemnts is true ?

Let A=R-{2} and B=R-{1}. If f:A rarr B is a mapping defined by f(x)=(x-1)/(x-2), show that f is bijective.

Let A=R-[2] and B=R-[1]. If f:A rarr B is a mapping defined by f(x)=(x-1)/(x-2), show that f is bijective.

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 ?

If f:R rarr R be a function defined by f(x)=4x^(3)-7. show that F is one - one mapping.

f:R rarr R defined by f(x)=(x)/(x^(2)+1),AA x in R is