Question

What is the domain and range of the function G(x) = x - 6?

1) Domain: all real numbers, Range: all real numbers
2) Domain: all real numbers, Range: x ≥ 0
3) Domain: x ≥ 0, Range: all real numbers
4) Domain: x ≥ 0, Range: y ≥ 0

Answer 1

For the function G(x) = x - 6, the domain and range are both all real numbers, since any real number substituted into the function will yield a real number output.

Step-by-step explanation:

The domain of a function includes all the possible input values, while the range includes all possible output values. For the function G(x) = x - 6, the domain is all real numbers because you can substitute any real number for x and still get a real number as a result. Similarly, the range is also all real numbers because the function can produce any value on the real number line, depending on what you put in for x.

Therefore, the correct answer is option 1) Domain: all real numbers, Range: all real numbers