In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
1.5 year is also 17 months. so 4060-3125=935 which equals 10 months, then 935÷10=93.5 which gives us the monthly dues. Then 93.5×7=654.5 which gives us the total of monthly dues for 7 months without the intuition fee. Then 3125-654.5=2470.5 that gives us the intuition fee.
Step-by-step explanation:
y=(x-d)²+7
y-7=(x-d)²
√(y-7)=x-d
d=x-√(y-7)
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