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In each of the following cases, state wh...

In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer.
(i) `f : R->R ,`defined by `f (x) = 3 - 4x`
(ii) `f : R->R ,`defined by `f(x) =1+x^2`

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To determine whether the given functions are one-one, onto, or bijective, we will analyze each function step by step. ### (i) Function: \( f : \mathbb{R} \to \mathbb{R} \) defined by \( f(x) = 3 - 4x \) **Step 1: Check if the function is one-one (injective)** To check if the function is one-one, we need to see if \( f(x_1) = f(x_2) \) implies \( x_1 = x_2 \). ...
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