Question

5). use the graphs of functions f and g to answer the problem. (g - f)(5)

Explanation:

Define the function subtraction formula

$$ (g - f)(5) = g(5) - f(5) $$

Find the values of f(5) and g(5) from the graphs

Looking at the grid where each grid line represents 1 unit:

• For \(f(x)\): at \(x = 5\), the point on the graph is at \(y = 1\). Thus, \(f(5) = 1\).
• For \(g(x)\): at \(x = 5\), the point on the graph is at \(y = -2\). Thus, \(g(5) = -2\).

Calculate the final value

$$ (g - f)(5) = -2 - 1 = -3 $$

Answer:

\(-3\)