state the domain of the following function in interval notation
solve: f(x)=x^2-4x+3
give step by step
why would it be (oo,-oo)
To find the domain of the function f(x) = x^2 - 4x + 3, we need to determine all possible values of x for which the function is defined.
1. The function f(x) is a polynomial function, and polynomial functions are defined for all real numbers. Therefore, the domain of f(x) is all real numbers.
2. In interval notation, all real numbers are represented by the interval (-∞, ∞). This indicates that the function is defined for all values of x from negative infinity to positive infinity.
Therefore, the domain of the function f(x) = x^2 - 4x + 3 is (-∞, ∞).