JEE Exam  >  JEE Questions  >  If f(x) = |x| and g(x) = | 5x – 2 |. Th... Start Learning for Free
If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​
  • a)
    |g|
  • b)
    | f |
  • c)
    f
  • d)
    f2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| ...
 f(x) = |x|   g(x) = |5x - 2|
fog = f(g(x) = g(x) = |5x - 2|
View all questions of this test
Most Upvoted Answer
If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| ...
 f(x) = |x|   g(x) = |5x - 2|
fog = f(g(x) = g(x) = |5x - 2|
Free Test
Community Answer
If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| ...
Given:
f(x) = |x|
g(x) = |5x + 2|

To find:
fog

Solution:

To find fog, we need to substitute g(x) in place of x in the function f(x).

fog = f(g(x))

Let's substitute g(x) in place of x in the function f(x):

f(g(x)) = |g(x)|

Applying g(x) in place of x in f(x):

f(g(x)) = |g(x)| = |5x + 2|

Explanation:

In the given problem, f(x) is an absolute value function and g(x) is also an absolute value function.

An absolute value function gives the absolute value of the expression inside the absolute value bars.

So, when we substitute g(x) in place of x in f(x), we get |5x + 2|.

Therefore, fog = |g(x)| = |5x + 2|.

Conclusion:

The correct answer is option 'A': |g(x)|.
Explore Courses for JEE exam
If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer?
Question Description
If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer?.
Solutions for If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If f(x) = |x| and g(x) = | 5x – 2 |. Then, fog =​a)|g|b)| f |c)fd)f2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev