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Mathematics · JEE | RELATIONS AND FUNCTIONS
हिन्दीLet \( f : \mathbb{R} \to \mathbb{R} \) be defined as \( f(x) = 3 - 4x \). Then \( f \) is:
View Answer & Solution
Correct answer · Option B
One-one and onto
Explanation
\( 3-4x_1 = 3-4x_2 \implies x_1 = x_2 \) (one-one). For any \( y \in \mathbb{R} \), \( x = \frac{3-y}{4} \in \mathbb{R} \) such that \( f(x) = y \) (onto).
