Q72.If f(x) = {x|x+−4|,a, xx >≤00 { x(x+−4)21, + b, xx <≥00 (gof)(2) + (fog)(−2) is equal to: (1) −10 (2) 10 (3) 8 (4) −8 x > 1
What This Question Tests
This question assesses the ability to correctly evaluate the composition of two piecewise-defined functions, handling the conditions for each piece and the absolute value function.
Concepts Tested
Formulas Used
(gof)(x) = g(f(x))
(fog)(x) = f(g(x))
📚 NCERT Sections This Tests
4.13 — How Is The Variability In Oxidation States Of Transition Metals Different From
Chemistry Class 11 · Chapter 4
4.13 How is the variability in oxidation states of transition metals different from that of the non transition metals? Illustrate with examples.
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Composition of Functions
- Year
- 2022
- Shift
- 26 Jul Shift 1
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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