https://file.aiquickdraw.com/mathbot/file/1727113613845lvbj0d66.jpg

To evaluate \( f(g(2)) \) using the table:

1. **Find \( g(2) \)**: Look at the row for \( g(x) \) and find the value when \( x = 2 \). The value is \( g(2) = 5 \).

2. **Find \( f(g(2)) = f(5) \)**: Now, look at the row for \( f(x) \) and find the value when \( x = 5 \). The value is \( f(5) = 6 \).

Therefore, \( f(g(2)) = 6 \).

Would you like more details or have any questions?

### Related Questions:
1. How do you evaluate expressions like \( g(f(3)) \) using the table?
2. What is \( g(f(1)) \) based on the given table?
3. How can you determine \( f(x) + g(x) \) for each \( x \)?
4. What does it mean if \( f(g(x)) \) is equal to a specific value for all \( x \)?
5. How would you graph the functions \( f(x) \) and \( g(x) \) based on the table data?

### Tip:
For evaluating nested functions like \( f(g(x)) \), always start from the innermost function and work your way out.

Use the table to evaluate the expression f(g(2)).

Learn how to evaluate the expression f(g(2)) using a function table. This problem involves the composition of two functions, where g(2) is found first and then used to evaluate f(x). Suitable for Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation