To determine the domain of the function f(x) = 5x + 5, we need to identify any restrictions on the values of x.
This particular function is a linear function, meaning it is defined for all real numbers. There are no values of x that would make the function undefined, such as dividing by zero or taking the square root of a negative number.
Thus, the inequality used to express the domain can be written simply as:
x ∈ (-∞, ∞)
This states that x can take on any value from negative infinity to positive infinity. In conclusion, for the function f(x) = 5x + 5, there are no restrictions on the domain.