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

Expert Answers
lemjay eNotes educator| Certified Educator

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.

etotheeyepi | Student

The function, f(x), is a linear function. The domain for a linear function is all real numbers.