The domain of a function is the set of input values the function can take
The domain is all set of real numbers
How to determine the domain
The expression is given as:
[tex]\frac{x^2 - x - 12}{x - 4}[/tex]
Factorize the numerator of the expression
[tex]\frac{(x - 4)(x + 3)}{x - 4}[/tex]
Simplify: Cancel out the common terms
[tex]x + 3[/tex]
The above expression can take any value of x.
Hence, the domain is all set of real numbers
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