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kicyunya [14]
3 years ago
6

(2x/x+3)+(x+3/x-5) in simplest form

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

Below

Step-by-step explanation:

(2x/x+3) + (x+3/x-5)

Transform: 2x(x-5) + (x+3)^2 / (x+3)(x-5)

Remove brackets and expand : 2x^2 - 10x + x^2 + 6x + 9 / x^2 - 5x + 3x - 15

Collect like terms : 3x^2 - 4x + 9 / x^2 - 2x - 15

Final answer: 3x^2 - 4x + 9 / x^2 - 2x - 15

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Step-by-step explanation:

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Let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
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Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Function Notation
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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                   (f - g)(x) = 3x + 5 - x²
  2. Rewrite:                       (f - g)(x) = -x² + 3x + 5
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