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?

5 answers

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.
are you very sure
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.
are you sure
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.