Question

domain of f(x)=x^2+x/(x^2-7x+10)

Answer 1

Answer:

The answer is $\text{R}-\{2,5\}$

Step-by-step explanation:

Given function is

  $\text{f}(x)=\dfrac{x^2+x}{x^2-7x+10}=\dfrac{x^2+x}{(x-2)(x-5)}$

Therefore domain of f is $\text{R}-\{2,5\}$

Concept : Domain of a rational function

                                     $\dfrac{\text{P}(x)}{\text{Q}(x)}$

                 where P(x) and Q(x) are polynomials is R- zeroes of Q(x)