The domain of a function are the valid x values the function can take. The domain of [tex]f(x) = \frac{3x - 7}{x + 1}[/tex] is [tex](-\infty, -1)\ u\ (-1, \infty)[/tex]
Given that:
[tex]f(x) = \frac{3x - 7}{x + 1}[/tex]
We start by equating the denominator to 0
[tex]x + 1 = 0[/tex]
Solve for x
[tex]x = -1[/tex]
This means that, the function will be undefined when [tex]x = -1[/tex].
The valid value of x are: [tex]-\infty[/tex] to -2, then 0 to [tex]\infty[/tex]
Hence, the domain of the function is: [tex](-\infty, -1)\ u\ (-1, \infty)[/tex]
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