How to Simplify f(x)/g(x) with Common Denominators

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SUMMARY

The discussion focuses on simplifying the expression f(x)/g(x) specifically for the case of 3 - 4/(x-2). The common denominator identified is (x-2), allowing for the subtraction of the fractions. The simplification process results in the expression (3x - 6)/(x-2). This method effectively combines the fractions into a single, simplified form.

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  • Familiarity with basic algebraic operations (addition, subtraction)
  • Ability to manipulate algebraic fractions
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"simplify the expression"
need answer in the following:
f(x)/g(x)
 

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I think you mean (just saying "f(x)/g(x)" is very vague) that you want to make a single fraction of 3- 4/(x-2). Change to "common denominators" which here is the only denominator, x- 2, and subtract: 3(x-2)/(x-2)- 4/(x-2)= (3x-2- 4)/(x-2)= (3x- 6)/(x-2).
 

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