JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

Let

A=\{1,0,1,2\}, B=\{4,2,0,2\}

and

f, g: A \rightarrow B

be functions defined by

f(x)=x^2-x

and

g(x)=2\left|x-\frac{1}{2}\right|-1

. Then,

View answer and explanation

Correct option: A

f=g

Option A (

f=g

) is correct because the functions

f(x)

and

g(x)

yield the same output for all elements in set A.

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f\left( x \right) = x - \left[ x \right]

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f: R \rightarrow R

f(x)=x^4

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S=\left\{x: f(x)=f^{-1}(x)\right\}