Question 187468
Find the excluded values of x, these are the values of x that would make the denominator zero:
{{{(x+2)/(x^2-9x+14)}}} I'm assuming that you forgot to type in the exponent on the first term! Factor the denominator.
{{{(x+2)/(x-2)(x-7)}}} Now set the denominator equal to zero.
{{{(x-2)(x-7) = 0}}} Apply the zero product rule.
{{{x-2 = 0}}} or {{{x-7 = 0}}} which means that...
{{{highlight(x = 2)}}} or {{{highlight(x = 7)}}}
These are the values of x that would make the denominator equal zero so these are the excluded values of x.