If two functions have same Domain and range then the functions are equal functions.

False

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True

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Solution

The correct option is A False

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Similar questions

Indicate whether the two functions are equal. If the two functions are not equal, then give an element of the domain on which the two functions have different values.

$f : Z \to Z,$ where $f (x) = x^{3}$

$g : Z \to Z,$ where $g (x) = {|x|}^{3}$

Q. If a function defined from

A

B

as follows

Then the correct options is/are

Indicate whether the two functions are equal.

If the two functions are not equal, then give an element of the domain on which the two functions have different values.

$f : Z \to Z,$ where $f (x) = |x + y|$

$g : Z \to Z,$ where $g (x) = |x| + |y|$

Q. Assertion :

f (x) = \frac{x^{2} - 4}{x - 2}

and

g (x) = x - 2

are equal Reason: Two functions

f

and

g

are stand to be equal if their domains, ranges are equal and

f (x) = g (x) \forall x

domain.

Q. Assertion (A) :

f (x) = \frac{x^{2} - 4}{x - 2}

and

g (x) = x + 2

are equal.
Reason (R): Two functions

f

and

g

are said to be equal if their domains and ranges are equal and

f (x) = g (x) \forall x \in

domain.

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