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

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

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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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