what is the domain of f(x)=-5x+4 and how do you find it?Advanced Functions

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lemjay | High School Teacher | (Level 3) Senior Educator

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f(x) = -5x + 4

Domain refers to the values of x that would result to  a defined value of y. Since the given f(x) is a linear function, then all the values of x would give a corresponding value of y. So, the domain of f(x)=-5x+4 are all real numbers.

Or, plot the given equation to check.

The graph of f(x)=-5x+4 is shown below.

Since the graph is a straight line and can be extended continuously on both ends,  this indicates that every values of x, there is a corresponding value of y.

Hence, the domain of the given function are all real numbers.