Question

consider the following functions.\\( f = \\{(1, 0), (2, 3), (4, 0)\\} \\) and \\( g = \\{(3, 1), (2, -1), (-3, -2)\\} \\) step 2 of 4 : find \\( (f - g)(2) \\). answer how to enter your answer (opens in new window) \\( (f - g)(2) = \\) \\( \square \\)

Explanation:

Step1: Find $f(2)$ from set $f$

From $f = \{(1,0),(2,3),(4,0)\}$, $f(2)=3$

Step2: Find $g(2)$ from set $g$

From $g = \{(3,1),(2,-1),(-3,-2)\}$, $g(2)=-1$

Step3: Compute $(f-g)(2)$

Use formula $(f-g)(x)=f(x)-g(x)$

$$\begin{align*} (f-g)(2)&=f(2)-g(2)\\ &=3-(-1)\\ &=4 \end{align*}$$

Answer:

$4$