## Algebra and Trigonometry 10th Edition

The notation (fg)(5) + f(4) can be rewritten as f(5) * g(5) + f(4). This can be solved by evaluating the two functions at 5 and multiplying the two numbers together. Lastly, evaluate the function f at 4 and add it to the previously found product. In this question: f(x) = x + 3 g(x) = $x^{2}$ - 2 Evaluate the functions and then multiply: First we want to evaluate f(x) at x = 5: f(5) = 5 + 3 = 8 Then we want to evaluate g(x) at x = 5: g(5) = $(5)^{2}$ - 2 = 25 - 2 = 23 Multiply the numbers together: (fg)(5) = 8 * 23= 184 Evaluate f(4) and add: Evaluate f(x) at x = 4: f(4) = 4 + 3 = 7 Add with the previously found product: (fg)(5) + f(4) = 184 + 7 = 191 Using both methods (fg)(5) + f(4) = 191