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

1 Answer
Aug 6, 2016

see 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"#