Question

The tables for f(x) and g(x) are shown below.

x
f(x)
–5
–11
–2
1
1
13
5
29

x
g(x)
–5
–7
–2
–1
1
5
5
13

What is the value of (f – g)(5)?

Answer 1

The value of (f - g)(5) is 16, obtained by subtracting g(5) which is 13 from f(5) which is 29.

Step-by-step explanation:

To find the value of (f - g)(5), we need to evaluate both functions f(x) and g(x) at x = 5 and then take the difference between these two values. From the given tables, we have f(5) = 29 and g(5) = 13. Therefore, the value of (f - g)(5) is calculated by subtracting the latter from the former:

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

= 29 - 13

= 16

Thus, the value of (f - g)(5) is 16.