What are the excluded values for #y=x/(2x+14)#?

1 Answer

Answer:

#x!=7#

Explanation:

We're looking for values of #x# that aren't allowed in the fraction

#y=x/(2x+14)#

If we look at the numerator, there is nothing there that will exclude any #x# values.

If we look at the denominator, where the value 0 is not allowed, there is a value of #x# that is disallowed because it will make the denominator 0. That value is:

#2x+14=0#

#2x=-14#

#x=-7#

All the other values of #x# are ok.

And so we write this as #x# cannot equal 7, or #x!=7#