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

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Answer:

[tex]\displaystyle f(3x) = \frac{6x + 5}{3x + 4}[/tex]

General Formulas and Concepts:

Algebra I

  • Functions
  • Function Notation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = \frac{2x + 5}{x + 4}[/tex]

Step 2: Find

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