document.write( "Question 1194864: Let 𝑓 be the function with correspondence rule 𝑓(𝑥) = 3𝑥^2 + 5𝑥 − 3 with 𝑥 ∈ [0; +∞[, determine the inverse function 𝑓^−1 and its domain. \n" ); document.write( "

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Let 𝑓 be the function with correspondence rule 𝑓(𝑥) = 3𝑥^2 + 5𝑥 − 3 with 𝑥 ∈ [0; +∞[, determine the inverse function 𝑓^−1 and its domain.
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               , where:  \r\n" );
document.write( "Use the formula: , to COMPLETE the SQUARE on this or ANY QUADRATIC.\r\n" );
document.write( "            .\r\n" );
document.write( "         \r\n" );
document.write( "      \r\n" );
document.write( "      Since   𝑥 ∈ [0, ∞), we opt for the \"+\" positive root, and so, we get: \r\n" );
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document.write( "You need to use the RADICAND (expression UNDER the RADICAL) to determine the VALUES that are EXCLUDED as part of the INVERSE function's DOMAIN.\r\n" );
document.write( "In this case, you can just use the NUMERATOR of the RADICAND, set it ≥ 0, and then solve the INEQUALITY to determine what RANGE of values are\r\n" );
document.write( "EXCLUDED from the DOMAIN of the INVERSE function.

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