2. Here are the equations that define three functions. \( f(x)=6(x-3) \) a. Which function value is the largest: \( f(60), g(60) \), or \( h(60) \) ? What is thesvalue of the function? b. Which function value is the largest: \( f(-30), g(-30) \), or \( h(-30) \) ? What is the value of the function?
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To find the largest function value for both parts, we first need the explicit definitions of \( g(x) \) and \( h(x) \) to perform the calculations. Assuming \( g(x) = 5x + 7 \) and \( h(x) = 4x - 2 \): a. For \( f(60) \), we have \( f(60) = 6(60 - 3) = 6(57) = 342 \). Calculating \( g(60) = 5(60) + 7 = 300 + 7 = 307 \) and \( h(60) = 4(60) - 2 = 240 - 2 = 238 \). Therefore, \( f(60) = 342 \) is the highest value. b. For \( f(-30) \), we calculate \( f(-30) = 6(-30 - 3) = 6(-33) = -198 \). Next, \( g(-30) = 5(-30) + 7 = -150 + 7 = -143 \) and \( h(-30) = 4(-30) - 2 = -120 - 2 = -122 \). Thus, the largest value is \( g(-30) = -143 \).