Shortcut Methods
JEE Mains(level1): Questions with one word answer or true/false
- False.
- [2, ∞).
- -1.
- -1.
- -5.
JEE Mains (level 2):Comprehension based Questions
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$$f^{-1}(x) = \begin{cases} \frac{x+1}{2} & \text{if x < 1}\ -\frac{x+1}{2} & \text{if x ≥ 1} \end{cases}$$
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Domain: R, Range: [-2, 2].
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$$ (f∘g)(x) = \begin{cases} -2x^2+1 & \text{if x < 0}\ 2x^2-2x+1 & \text{if 0 ≤ x < 1}\ -2x^2+2x+1 & \text{if x ≥ 1} \end{cases}$$ Domain: R.
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x = ±1.
CBSE Board:
- {(2,3), (3 , 4) , ( 4, 5)}
- f(x)=x^3
- Domain: [0, ∞), Range: [2, ∞).
- f^-1(x)=(x-2)/3.
- (f∘g)(x) = 4x^2 + 8x + 1.
