Question

The function f is defined by f(x)=2x+5/x+4 find f (3x)

Answer 1

`\displaystyle f(3x) = (6x + 5)/(3x + 4)`

General Formulas and Concepts:

Algebra I

• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

`\displaystyle f(x) = (2x + 5)/(x + 4)`

Step 2: Find

1. Substitute in x [Function f(x)]:
   `\displaystyle f(3x) = (2(3x) + 5)/(3x + 4)`
2. Simplify:
   `\displaystyle f(3x) = (6x + 5)/(3x + 4)`