Questions: find the domain of each function 51. f(x)=-5x+4

Transcript text: find the domain of each function 51. $f(x)=-5 x+4$

Solution

Solution Steps

To find the domain of the function $ f(x) = -5x + 4 $, 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) = -5x + 4 $. This is a linear function.

Step 2: Determine the Domain of a Linear Function

Linear functions are defined for all real numbers because there are no restrictions on the values that $ x $ can take. There are no denominators, square roots, or logarithms that could limit the domain.

Final Answer

The domain of the function $ f(x) = -5x + 4 $ is: \[ \boxed{\text{All real numbers}} \]

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