Home
Class 12
MATHS
If f : R to R be a function such that ...

If ` f : R to R ` be a function such that `f(x)=x^(3)+x^(2)+3x +sinx,` then discuss the nature of the function.

A

one - one and onto

B

one -one and into

C

many - one and onto

D

many - one and into

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If f: Rvec is a function such that f(x)=x^3+x^2+3x+sinx , then identify the type of function.

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

If f:R rarr R be a function defined as f(x)=(x^(2)-8)/(x^(2)+2) , then f is

The function f:R rarr R, f(x)=x^(2) is

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

If f : R -> R be a function such that f(x) = { x|x| -4; x in Q, x|x| - sqrt3; x !in Q then f(x) is

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

If f:R to R be defined by f(x) =2x+sinx for x in R , then check the nature of the function.

If f:R to R be the function defined by f(x) = sin(3x+2) AA x in R. Then, f is invertible.

Statement-1: If f:R to R and g:R to R be two functions such that f(x)=x^(2) and g(x)=x^(3) , then fog (x)=gof (x). Statement-2: The composition of functions is commulative.