Question

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

Answer 1

Answer:

$\displaystyle f(3x) = \frac{6x + 5}{3x + 4}$

General Formulas and Concepts:

Algebra I

• Functions
• Function Notation

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = \frac{2x + 5}{x + 4}$

Step 2: Find

1. Substitute in x [Function f(x)]:                                                                              $\displaystyle f(3x) = \frac{2(3x) + 5}{3x + 4}$
2. Simplify:                                                                                                             $\displaystyle f(3x) = \frac{6x + 5}{3x + 4}$