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Domain of the function f(x)=sin^(- 1)(1+...

Domain of the function f(x)=`sin^(- 1)(1+3x+2x^2)`

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To find the domain of the function \( f(x) = \sin^{-1}(1 + 3x + 2x^2) \), we need to determine the values of \( x \) for which the expression inside the sine inverse function lies within the valid range, which is between -1 and 1 (inclusive). ### Step-by-Step Solution: **Step 1: Set up the inequality** We need to ensure that: \[ -1 \leq 1 + 3x + 2x^2 \leq 1 ...
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