Home
Class 12
MATHS
If f:R to R be defined by f(x) =2x+sinx ...

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

A

one - one and onto

B

one - one but not onto

C

onto but not one - one

D

neither one - one nor onto

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .

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

If f : R -> R is defined by f(x) = 1 /(2-cos3x) for each x in R then the range of f is

If function f R to R is defined by f (x) = 2x + cos x, then

Let the funciton f:R to R be defined by f(x)=2x+sin x . Then, f is

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.

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.

The function f:R to R is defined by f(x)=cos^(2)x+sin^(4)x for x in R . Then the range of f(x) is

If f : R -> R is defined by f(x) = [2x] - 2[x] for x in R , where [x] is the greatest integer not exceeding x, then the range of f is

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