For 6/x+5 –5 is an excluded value of x.
So, Option D is correct answer.
Step-by-step explanation:
We need to find for which rational expression is –5 an excluded value of x.
A value of x is excluded in a rational expression if it makes the denominator of that expression equal to zero and makes the expression undefined.
In the options given below, if we put x= -5 the only option D will become undefined i.e
[tex]\frac{6}{x+5}\\Put\,\,x=-5\\=\frac{6}{-5+5}\\=\frac{6}{0}[/tex]
As we know 6/0 = undefined so, for 6/x+5 –5 is an excluded value of x.
So, Option D is correct answer.
Keywords: Solving Rational Expression
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