Question

A range value of the function f(x)=−2x+6 is 0. What is its domain value?

Answer 1

Answer:

The domain is all real numbers

-inf<x<inf

Answer 2

Answer:

3

Step-by-step explanation:

First, we need to understand what the problem is asking for.

The range of a function is the set of the y-coordinates of all the points of the function.

The domain of a function is the set of the x-coordinates of all the points of the function.

"A range value" means the same as "the y-coordinate of one point."

This problem is telling you that the y-coordinate of a point of function f(x) =  -2x + 6 is 0. Then it asks what its domain value is. It is asking you what is the x-coordinate of the point that has 0 as its y-coordinate.

Simply put, for function f(x) = -2x + 6, when y = 0, what is x?

f(x) = −2x + 6

-2x + 6 = -

-2x = -6

x = 3

Answer: 3