What is the excluded value of the rational expression Start Fraction x minus 4 over 6 End Fraction divided by Start Fraction x plus 1 over 7 End Fraction?

Answer 1

The excluded value of a rational expression is any value of the variable that would make the denominator equal to zero.

In this case, the denominator of the first fraction is 6 and the denominator of the second fraction is 7.

So, the excluded value of the rational expression is any value of x that makes either 6 or 7 equal to zero.

However, since neither 6 nor 7 can be made equal to zero, there is no excluded value for this rational expression.

Answer 2

are you very sure

Answer 3

Apologies for the confusion in my previous response. Let's reexamine the rational expression given:

Start Fraction x minus 4 over 6 End Fraction divided by Start Fraction x plus 1 over 7 End Fraction

To find the excluded value, we need to determine when any denominator in the expression becomes zero.

For the first fraction, the denominator is 6. The value of x that would make the denominator zero is x = 4.

For the second fraction, the denominator is 7. The value of x that would make the denominator zero is x = -1.

So, the excluded values for this rational expression are x = 4 and x = -1.

Answer 4

are you sure

Answer 5

Let's correct our approach and carefully determine the excluded value of the given rational expression:

Start Fraction x - 4 over 6 End Fraction divided by Start Fraction x + 1 over 7 End Fraction

To find the excluded values, we should determine when any of the denominators become zero.

For the first fraction, the denominator is 6. Setting 6 equal to zero gives us 6 = 0, which is not possible.

For the second fraction, the denominator is 7. Setting 7 equal to zero gives us 7 = 0, which is also not possible.

Therefore, in this case, there are no excluded values for the rational expression since neither denominator can become zero.