Question:

f : R →\to R and g : [0, ∞\infty) →\to R is defined by f(x) = x2x^2 and g(x) = x\sqrt{x} . Which one of the following is not true?

Updated On: Apr 8, 2024
  • fog (2) = 2
  • gof (4) = 4
  • gof (-2) = 2
  • fog (-4) = 4
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

f(x)=x2g(x)=xf \left(x\right)=x^{2}g\left(x\right)=\sqrt{x}
fo g(−4)=f[g(−4)]f o \,g\left(-4\right)=f\left[g\left(-4\right)\right] is not defined
Was this answer helpful?
0
0

Top Questions on Relations and functions

View More Questions

Questions Asked in KCET exam

View More Questions

Concepts Used:

Relations and functions

A relation R from a non-empty set B is a subset of the cartesian product A × B. The subset is derived by describing a relationship between the first element and the second element of the ordered pairs in A × B.

A relation f from a set A to a set B is said to be a function if every element of set A has one and only one image in set B. In other words, no two distinct elements of B have the same pre-image.

Representation of Relation and Function

Relations and functions can be represented in different forms such as arrow representation, algebraic form, set-builder form, graphically, roster form, and tabular form. Define a function f: A = {1, 2, 3} → B = {1, 4, 9} such that f(1) = 1, f(2) = 4, f(3) = 9. Now, represent this function in different forms.

  1. Set-builder form - {(x, y): f(x) = y2, x ∈ A, y ∈ B}
  2. Roster form - {(1, 1), (2, 4), (3, 9)}
  3. Arrow Representation