Question

What is the domain of the function y = -4x+1 if the range is -11

Answer 1

The range of a function is the set of all values that it can take when its independent variable takes values on the domain.

On the other hand, the range of a function is the domain of its inverse function, if that inverse exists, and vice-versa: the domain of a function is the range of its inverse function, if that inverse exists.

In the case of the given equation:

$y=-4x+1$

The inverse function exists since the function is linear, and it can be found by isolating x:

$x=-\frac{1}{4}(y-1)$

If the range of the original function is the set given by the number {