This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To evaluate g(3), we need to determine which part of the piecewise function applies for x=3. Step 1: Identify the correct function definition based on the input value. The given function is: g(x) = (1)/(x-1), & x < 1 \\ 3x^2 + 1, & x 1 We need to evaluate g(3). Since 3 1, we use the second part of the function definition, which is g(x) = 3x^2 + 1. Step 2: Substitute x=3 into the chosen function. g(3) = 3(3)^2 + 1 Step 3: Calculate the result. g(3) = 3(9) + 1 g(3) = 27 + 1 g(3) = 28 What's next?