Given:
[tex]\frac{(n-6)(5n+4)}{n(n-6)(7n+8)}[/tex]
Required:
We need to find the excluded values of the domain.
Explanation:
Cancel out the common factor (n-6).
[tex]\frac{(5n+4)}{n(7n+8)}[/tex]
The excluded points can be found by equating the numerator of the given expression equal to zero.
[tex]n(7n+8)=0[/tex][tex]n=0\text{ and }7n+8=0[/tex]
We get n =0 is one of the excluded points
Consider the equation 7n+8=0.
Subtract 8 from both sides.
[tex]7n=-8[/tex][tex]n=-\frac{8}{7}[/tex]
n=-8/7 is the second excluded point.
Final answer:
The excluded values are
[tex]0,-\frac{8}{7}[/tex]
