206k views
4 votes
Let \[f(x) = \frac{3x - 7}{x + 1}. \]find the domain of $f$. Give your answer using interval notation.

User Ebeland
by
6.5k points

1 Answer

2 votes

Answer:

(-∞, -1) ∪ (-1, ∞)

Explanation:

You want to know the domain of f(x) = (3x -7)/(x +1).

Domain

The domain of a function is the set of x-values for which it is defined. The function f(x) is defined for all real numbers except the value of x that makes the denominator zero: x = -1. In interval notation, that is ...

(-∞, -1) ∪ (-1, ∞)

User Mrinal Kamboj
by
5.5k points