https://file.aiquickdraw.com/mathbot/file/1725849295726sf1jmwsa.jpg

The problem in the image involves two given functions, \( f(x) = \sqrt{5x} \) and \( g(x) = 7x - 3 \). The task is to:

1. Find \( f \circ g(x) \), which represents \( f(g(x)) \).
2. Simplify the result and also determine the domain of \( f(g(x)) \).

Let's break this down:

### Step 1: Calculate \( f(g(x)) \)
- \( f(x) = \sqrt{5x} \)
- \( g(x) = 7x - 3 \)

To compute \( f(g(x)) \), we substitute \( g(x) \) into \( f(x

For the given functions f(x) = √(5x) and g(x) = 7x - 3, find f ∘ g(x) and also determine the domain.

Learn how to solve the function composition of f(x) = √(5x) and g(x) = 7x - 3, and find the domain of f ∘ g(x). This example includes the step-by-step process to simplify the composition and highlights key concepts related to radical and linear functions. Suitable for high school students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation