Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2012MathematicsFunctionsActual

If f is an even function and g is an odd function, then the function fog is

Options

  1. Aan even function
  2. Ban odd function
  3. Cneither even nor odd
  4. Da periodic function

Correct answer

A. an even function

Step-by-step solution

We have, f o g(-x)=f[g(-x)]=f[-g(x)]( g is odd ) array l = f [ g ( x )] ( fis even ) = fog ( x ) x R array fog is an even function.

Practice Functions on Quantrex Academy →

More from Functions

Let [x] denote the greatest integer x . If f(x)=[x] and g(x)=|x| , then the value of f (g ( 8 5 ) )-g (f (- 8 5 ) ) is 2024Number of real solution of 5- ₂|x| =3- ₂|x| is equal to 2024f(x)= x [ 2 x ]+ 1 2 , where x is not an integral multiple of and [.] denotes the greatest integer function, is 2024The function f: R R defined by f(x)= x 1+x^2 is 2024If f: R R, g: R R are defined by f(x)=5 x-3, g(x)=x^2+3 , then g o f⁻¹(3) is equal to 2024The domain of the real valued function f(x)= 2 x^2-7 x+5 3 x^2-5 x-2 is 2024If a function f : R - l R - m defined by f(x)= x+3 x-2 is a bijection, then 3 l+2 m= 2024f(x)= x+ x, g(x)=x^2-1 , then g(f(x)) is invertible if 2024 Full Functions list All BITSAT PYQs