Question

please a send the correct answer wrong answers will be reported and correct answers be marked brainliest​

Answer 1

Step-by-step explanation:

We have,

$\rm \: f(x) = log \bigg \{ \frac{(x - 1)(x + 2)}{(x - 3)(x - 4)} \bigg \}$

Now, f(x) is defined if $\rm \frac{(x-1)(x+2)}{(x-3)(x-4)}>0$

So,

$\rm \: \frac{(x-1)(x+2)}{(x-3)(x-4)}>0$

$\rm \: \implies x \in( - \infty , - 2) \: \cup \: (1 ,3) \: \cup \: (4 , \infty )$

So, largest integer for which the function is defined is $-3$