let f: R->R be a function and f(x) = |(x+4)(4x-10)|.
which of the following is true?
1. f is an injective function.
2.f is a surjective function.
3.f is a bijective function.
4.None of the these
ہے
Answers
Answer:
Option D is the answer........
Answer:
4. f: R->R be a function and f(x) = |(x+4)(4x-10)| is not a injective or surjective function. So, it is also not a bijective function.
Step-by-step explanation:
Injective Function
Every element of a given set is connected to a unique element of another set in an injective function. If the images of different elements of X under a function, such as f: X Y, are distinct, then the function is said to be one-one (or injective), meaning that for every distinct x1, x2 X, there exists a distinct y1, y2 Y, such that f(x1) = y1, and f(x2) = y2.
Subjective Function
The range set's members are used to define the subjective function in a way that makes each one a co-domain. A function whose image is equal to its co-domain is said to be surjective. A surjective function's range, co-domain, and image are also all equal. Also, every y co-domain must have at least one pre-image x domain for f(x) to equal y in order for a subjective function to qualify as an onto function. Let's continue to investigate the surjective function.
Bijective Function
An injective function and a surjective function are combined to form a bijective function. Every element in set A is related to a unique element in set B, and every element in set B is the mirror image of some element in set A. This relationship between the elements of two sets A and B is called a bijective function.
A one-one function and an onto function are both parts of the bijective function. An inverse function from set B to set A exists for a bijective function between sets A and B.
To learn more about Subjective Function, click on the link below:
https://brainly.in/question/16075279
To learn more about Injective Functions, click on the link below:
https://brainly.in/question/25015
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