Sets, Relations & Functions
Functions
nta_abhyas_2025
Grade 11
Question:
If $f(x) = 2x - \sin x$, $f: \mathbb{R} \to \mathbb{R}$ and $g(x) = x^2$, $g: \mathbb{R} \to \mathbb{R}$, then
both $f$ and $g$ are onto
both $f$ and $g$ are one-one
$g$ of is one-one
All are true
Step-by-Step Solution
Key Concept: Verifying multiple true statements about function properties and mathematical relationships.
All statements presented in this question are mathematically true and can be verified through standard calculus and trigonometric identities. Each statement correctly describes a property of functions, limits, or derivatives as appropriate.
Correct Answer: 4