Let R = {0,1,2,3}be the range of h(x)= x-7. The domain of h is?
h(x)=x-7
h-1(x)=x+7
From
range of h(x) = domain of h-1(x)
and
domain of h(x) = range of h-1(x)
We conclude that the domain of h(x) is the same as the range of
h-1(x)=x+7
where the domain of h-1(x) is {0,1,2,3}.
For example:
h-1(0)=0+7=7
...
domain of h(x) is therefore {7,...}
To find the domain of the function h(x) = x - 7, we need to identify the set of values for which this function is defined.
The function h(x) = x - 7 is defined for all real numbers, as there are no restrictions or limitations on the input values of x. Therefore, the domain of h is the set of all real numbers (denoted by R or ℝ).
To arrive at this conclusion, we can consider that any real number can be substituted for x in the function h(x) = x - 7 and will result in a valid output. Hence, the domain is R or ℝ, which represents the set of all real numbers.