Home
Class 12
MATHS
Identify the type of the functions: f(x)...

Identify the type of the functions: `f(x)={g(x)-g(-x)}^(3)`

A

Odd

B

Even

C

Neither

D

Both

Text Solution

Verified by Experts

The correct Answer is:
A
`f(-x)=(g(-x)-g(x))^(3)= -(g(x)-g(-x))^(3)= -f(x)`
Hence, `f(x)` is an odd function.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.11|7 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.12|9 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.9|13 Videos

  • Quadratic Equations, Inequalities, Modulus and Logarithms

    CENGAGE|Exercise Question Bank|31 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Let g(x) be the inverse of the function f(x) ,and f'(x) 1/(1+ x^(3)) then g(x) equals

Let g(x) be the inverse of the function f(x) and f'(x)=(1)/(1+x^(3)) then g'(x) equals

Let f ,g are differentiable function such that g(x)=f(x)-x is strictly increasing function, then the function F(x)=f(x)-x+x^(3) is

Let g be the greatest integer function. Then the function f(x)=(g(x))^(2)-g(x) is discontinuous at

Suppose f, g, and h be three real valued function defined on R. Let f(x) = 2x + |x|, g(x) = (1)/(3)(2x-|x|) and h(x) = f(g(x)) The domain of definition of the function l (x) = sin^(-1) ( f(x) - g (x) ) is equal to

Identify the following functions whether odd or even or neither: f(x) = {g(x) - g( - x)}

If f(x)=(ax^(2)+b)^(3), then find the function g such that f(g(x))=g(f(x))

If the functions f(x)=x^(5)+e^(x//3) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

Let f(x)=x^(2) and g(x)=2x+1 be two real functions.Find (f+g)(x)(f-g)(x),(fg)(x),((f)/(g))(x)