f(x) =x ELEVADO A LA DOS g(x) =xmas 2 resuelve esto  a. (g o f) (1) =

The problem involves function composition. Given:

- \( f(x) = x^2 \) 
- \( g(x) = x + 2 \)

We are tasked with finding \( (g \circ f)(1) \), which means we first apply \( f(x) \) and then apply \( g(x) \) to the result of \( f(x) \).

### Step-by-Step Solution:

1. **First, calculate \( f(1) \):**
   \[
   f(1) = 1^2 = 1
   \]

2. **Next, use the result of \( f(1) \) as the input for \( g(x) \):**
   \[
   g(f(1)) = g(1) = 1 + 2 = 3
   \]

Thus, \( (g \circ f)(1) = 3 \).

### Final Answer:
\[
(g \circ f)(1) = 3
\]

Would you like further details on function composition or have any questions?

### Related questions:
1. What is \( (f \circ g)(1) \)?
2. How do you find \( (g \circ f)(x) \) for a general \( x \)?
3. What are the domain and range of \( f(x) = x^2 \)?
4. How does the composition of functions affect their graphs?
5. Can function composition be done in reverse?

**Tip:** Function composition is not commutative, meaning \( (g \circ f)(x) \neq (f \circ g)(x) \).

f(x) = x^2, g(x) = x + 2. Resolve (g o f)(1)

Learn how to solve the function composition problem (g o f)(1) where f(x) = x^2 and g(x) = x + 2. Follow a detailed step-by-step solution, exploring algebraic concepts and function operations. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation