Let f(x) = [x] (greatest integer function) and g(x) = |x|. The value of g(f(−5/3)) − f(g(−5/3)) is: A. 0 B. 1 C. 2 D. −1 Answer: B) 1 Explanation: f(−5/3) = f(−1.66..) = −2. g(−2) = |−2| = 2. Also, g(−5/3) = |−5/3| = 5/3. f(5/3) = [1.66..] = 1. The expression evaluates to 2 − 1 = 1.

imo class 12 relations and functions

Let f(x) = [x] (greatest integer function) and g(x) = |x|. The value of g(f(−5/3)) − f(g(−5/3)) is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

#IMO #Class 12 #Mathematics #Relations and Functions #achievers

Let f(x) = [x] (greatest integer function) and g(x) = |x|. The value of g(f(−5/3)) − f(g(−5/3)) is:

A. 0
B. 1
C. 2
D. −1

Answer: B) 1

Explanation: f(−5/3) = f(−1.66..) = −2. g(−2) = |−2| = 2. Also, g(−5/3) = |−5/3| = 5/3. f(5/3) = [1.66..] = 1. The expression evaluates to 2 − 1 = 1.

0 Answers

Discussion (0)

No comments yet — start the discussion.

← Back to all questions