Question

operations on functions using tables and graphs of values
use the functions ( f(x) ) and ( g(x) ) to evaluate the expressions below. write your answer as an integer or a reduced fraction.

( f(4) + g(2) = )
( g(3) - f(5) = )
( f(4) cdot g(3) = )
( \frac{g(2)}{f(5)} = )

Explanation:

To solve the expression \( g(3) - f(5) \), we need to find the values of \( g(3) \) and \( f(5) \) from the given table and graph.

Step 1: Find \( g(3) \) from the table

Looking at the table for \( g(x) \), when \( x = 3 \), the value of \( g(3) \) is 4. So, \( g(3) = 4 \).

Step 2: Find \( f(5) \) from the graph

From the graph of \( f(x) \), when \( x = 5 \), we look at the y - coordinate of the point on the graph of \( f(x) \) at \( x = 5 \). From the graph, we can see that \( f(5)=3 \).

Step 3: Evaluate \( g(3)-f(5) \)

Substitute the values of \( g(3) \) and \( f(5) \) into the expression:
\( g(3)-f(5)=4 - 3=1 \)

\( 1 \)

Answer:

To solve the expression \( g(3) - f(5) \), we need to find the values of \( g(3) \) and \( f(5) \) from the given table and graph.

Step 1: Find \( g(3) \) from the table

Looking at the table for \( g(x) \), when \( x = 3 \), the value of \( g(3) \) is 4. So, \( g(3) = 4 \).

Step 2: Find \( f(5) \) from the graph

From the graph of \( f(x) \), when \( x = 5 \), we look at the y - coordinate of the point on the graph of \( f(x) \) at \( x = 5 \). From the graph, we can see that \( f(5)=3 \).

Step 3: Evaluate \( g(3)-f(5) \)

Substitute the values of \( g(3) \) and \( f(5) \) into the expression:
\( g(3)-f(5)=4 - 3=1 \)

\( 1 \)