The range of the real-valued function f(x) =...

### Related Test

The range of the real-valued function f(x) = is:

Given: f(x) =
Let, y2 = 9 - x2
⇒ x2 = 9 - y2
x = ...(1)
We know that for any function f(x)= ,y ≥ 0…. (A)
From equation (1).
9 − y2 ≥ 0
y2 − 9 ≤ 0
⇒ (y + 3)(y − 3) ≤ 0
⇒ −3 ≤ y ≤ 3
But from equation (A) y must be positive, then, y = [0, 3].
Range = the value of y = [0, 3]
Hence, the correct answer is [0, 3].

 View courses related to this question Explore CAT courses
 Explore CAT coursesView courses related to this question
 1 Crore+ students have signed up on EduRev. Have you?

• ### ‘f’ is a real function such that f(x + y) = f(xy) for all real ... more

Question Description
The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer?.
Solutions for The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer?, a detailed solution for The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer? has been provided alongside types of The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The range of the real-valued function f(x) = is:Correct answer is '0,3'. Can you explain this answer? tests, examples and also practice CAT tests.

### Top Courses for CAT

Do you know? How Toppers prepare for CAT Exam
With help of the best CAT teachers & toppers, We have prepared a guide for student who are preparing for CAT : 15 Steps to clear CAT Exam