Question

Which of the following is equal to the rational expression when x=4 or 3? x² -4x 3/ x² x -12

1) (4² - 4*4 + 3) / (4² * 4 - 12)
2) (3² - 4*3 + 3) / (3² * 3 - 12)
3) (4² - 4*4 + 3) / (4² * 4 - 12)
4) (3² - 4*3 + 3) / (3² * 3 - 12)

Answer 1

The provided options do not correctly match the expected rational expression when evaluated at x=4 or x=3. The correct approach involves substituting the value of x into the expression and then simplifying.

Step-by-step explanation:

The student's question is asking which of the given options is equal to the rational expression when x equals either 4 or 3. Upon reviewing the options, we find that none of them correctly represent the given expression when evaluated at x=4 or x=3. There is likely a mistake in the formation of the options or in the transcription of the expression itself. When trying to evaluate a rational expression at a certain value, the correct approach is to substitute the value of x into the expression and then simplify accordingly.

Unfortunately, none of the options provided match the format that the original expression would take when evaluated at x=4 or x=3, which would typically look like this:

• When x=4: (4² - 4*4 + 3) / (4² - 4*4 - 12)
• When x=3: (3² - 4*3 + 3) / (3² - 3*3 - 12)

Since the options don't match the expected format, it is not possible to provide a clear answer.