# How do you simplify and find the excluded values of #5/(7z+5)#?

##### 1 Answer

Aug 6, 2016

see explanation.

#### Explanation:

The given rational function is already in simplest form. The denominator cannot be factorised, which would allow cancelling and thus simplification.

The excluded value is the value of z that would make the denominator equal to zero.

That is

#5/0# as we cannot divide by zero, this would be undefined.To find the excluded value equate the denominator to zero and solve for z.

solve : 7z + 5 = 0

#rArr7z=-5rArrz=-5/7#

#rArrz=-5/7" is the excluded value"#