## Algebra and Trigonometry 10th Edition

The notation (f/g)(-1) - g(3) can be rewritten as f(-1) / g(-1) - g(3). This can be solved by evaluating the two functions at -1 and dividing the two numbers. Lastly, evaluate the function g at 3 and subtract it from the previously found quotient. In this question: f(x) = x + 3 g(x) = $x^{2}$ - 2 Evaluate the functions and then divide: First we want to evaluate f(x) at x = -1: f(-1) = -1 + 3 = 2 Then we want to evaluate g(x) at x = -1: g(-1) = $(-1)^{2}$ - 2 = 1 - 2 = -1 Divide the numbers: (f/g)(-1) = 2/ -1 = -2 Evaluate g(3) and subtract: Evaluate g(x) at x = 3: g(3) = $3^{2}$ - 2 = 9 - 2 = 7 Add with the previously found product: (f/g)(-1) - g(3) = -2 - 7 = -9 (f/g)(-1) - g(3) = -9