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-to-one and onto

B

one-to-one but not onto

C

onto but not one-to-one

D

neither one-to-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let the f : R to R be defined by f(x)=2x+cos x , then f …………….

Let f:R to R be defined by f(x)=3x-4 . Then, f^(-1) (x) is

If f : R rarr R be defined by f(x) = 1/(x) , AA x in R . Then , f is .........

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.

Let the function f : R rarr R be defined by f(x) = cos x , AA x in R . Show that f is nether one - one nor onto .

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

If f: N rarr R be the function defined by f(x) = (2x-1)/2 and g : Q rarr R be another function defined by g(x) = x+2 . Then , gof (3/2) is .......