jee_main_2025_28_jan_evening - Functions Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #64 Range and Onto Functions
Let f:[0,3]arrow A be defined by f(x)=2x³-15x²+36x+7 and g:[0,∞)arrow B be defined by g(x)= x²⁰²⁵x²⁰²⁵+1. If both the functions are onto and S=xin Z:xin A or xin B, then n(S) is equal to:
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QUESTION #65 Domain of Inverse Trigonometric Functions
Let [x] denote the greatest integer less than or equal to x. Then domain of f(x)= ⁻¹(2[x]+1) is:
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QUESTION #70 Functional Equations
Let f:R-0arrow(-∞,1] be a polynomial of degree 2, satisfying f(x)f((1)/(x))=f(x)+f((1)/(x)). If f(K)=-2K then the sum of squares of all possible values of K is:
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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