Questions: Find the domain of the function. f(x)=-8x+5 The domain is (Type your answer in interval notation.)

Transcript text: Find the domain of the function. \[ f(x)=-8 x+5 \] The domain is $\square$ (Type your answer in interval notation.)

Solution

Solution Steps

To find the domain of the function $ f(x) = -8x + 5 $, we need to determine the set of all possible values of $ x $ 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 given function is $ f(x) = -8x + 5 $. This is a linear function.

Step 2: Determine the Domain of a Linear Function

For a linear function, the domain is all real numbers because there are no restrictions on the values that $ x $ can take.

Final Answer

The domain is $ (-\infty, \infty) $.

\[ \boxed{(-\infty, \infty)} \]

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