Question

1. Find the domain of the f[x) =log(x2-4x+3)​

Answer 1

Step-by-step explanation:

f(x)=log[x

2

−4x+3]

We know that logarithmic function is defined only for positive real numbers.

Hence f(x) is defined only when

{x}^2-4x+3x

2

−4x+3 is positive

That is, (x - 1) (xv- 3) is positive

Thus, f(x) is defined for the values of x outside the interval (1,3)

Therefore, the domain of f(x) is R-(1, 3)