Questions: Find the domain of the function. f(x)=-5x+5 The domain is - (Type your answer in interval notation.)

Transcript text: Find the domain of the function. \[ f(x)=-5 x+5 \] The domain is $\square$ - (Type your answer in interval notation.)

Solution

Solution Steps

To find the domain of the function $ f(x) = -5x + 5 $, we need to determine the set of all possible input values (x-values) for which the function is defined. Since this is a linear function, it is defined for all real numbers.

Step 1: Identify the Type of Function

The function given is $ f(x) = -5x + 5 $, which is a linear function. Linear functions are defined for all real numbers.

Step 2: Determine the Domain

Since linear functions do not have any restrictions such as division by zero or square roots of negative numbers, the domain of $ f(x) = -5x + 5 $ is all real numbers.