To determine the domain of the function f(x) = x + 5 given that its range is between 7 and 9, we can start by analyzing how the function behaves.
The range tells us the possible output values of the function. If the range is from 7 to 9, it means:
- When f(x) = 7:
x + 5 = 7
x = 7 – 5
x = 2 - When f(x) = 9:
x + 5 = 9
x = 9 – 5
x = 4
Therefore, the function f(x) = x + 5 will produce outputs in the range of 7 to 9 when the input x is between 2 and 4 inclusive. This leads us to conclude that the domain of the function is:
[2, 4]