Question

find the excluded value(s) of x in the rational expression f(x)= x^2+7x/ x^+14x+49so how am I supposed to combine like terms and get to the answer

Answer 1

Given

$f(x)=\frac{x^2+7x}{x^2+14x+49}$

Procedure

Factoring

$\begin{gathered} f(x)=\frac{x(x+7)}{(x+7)(x+7)} \\ f(x)=\frac{x}{x+7} \end{gathered}$

Answer:

x ≠ – 7