CUET · MATHS · PYQ PAPER 2023
Let \(f(x)=[x]\) and \(g(x)=|x|\). Then gof \(\left(\frac{-5}{3}\right)\) - fog \(\left(\frac{-5}{3}\right)\) where [x] is greatest integer valued function and |x| is modulus function.
- A 0
- B 1
- C 3
- D -10
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(f\left(\frac{-5}{3}\right) = \left[\frac{-5}{3}\right] = [-1.66...] = -2\) \(g \circ f\left(\frac{-5}{3}\right) = g(-2) = |-2| = 2\) \(g\left(\frac{-5}{3}\right) = \left|\frac{-5}{3}\right| = \frac{5}{3}\)…
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