Home
Class 11
MATHS
The f: R rarr R be any function. Define ...

The `f: R rarr R` be any function. Define `g: R rarr R` by `g(x)=|f(x)|` for all x then g is

A

onto if f is onto

B

one-one if f is one-one

C

continuous if f is continuous

D

differentiable is f is differentiable

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f: R rarr R be a function defined by f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is

If f: R rarr R is a function such that f(x +y) =f(x) +f(y) forall x,y in R then f is continuous on R if it is continuous at a single point in R.

If f : R rarr R and g: R rarr R are given by f(x)=|x| and g(x)={x} for each x in R , then |x in R : g(f(x)) le f(g(x))}=

Let the function f: R to R be defined by f(x) = 2x + sinx for x in R , then f is

Let f:R to R be a function such that |f(x)|le x^(2),"for all" x in R. then at x=0, f is

f: R to R is a function defined by f(x) =(e^(|x|) -e^(-x))/(e^(x) + e^(-x)) . Then f is: