Final answer:
The functions f(x) and g(x) are defined as f(x) = x² + 5 and g(x) = x - 7.
Both functions have a domain of all real numbers.
To evaluate f(x), substitute x into the equation.
To evaluate g(x), substitute x into the equation.
Explanation:
- The function f(x) is defined as f(x) = x² + 5.
- The function g(x) is defined as g(x) = x - 7.
The domain of a function is the set of all possible input values.
In this case, since both f(x) and g(x) are polynomial functions, their domains are all real numbers.
- To find f(x), we substitute x into the equation f(x) = x² + 5.
For example, if we want to find f(2), we substitute 2 for x: f(2) = (2)² + 5 = 4 + 5 = 9.
- To find g(x), we substitute x into the equation g(x) = x - 7.
For example, if we want to find g(3), we substitute 3 for x: g(3) = (3) - 7 = -4.
Learn more about Polynomial functions here:
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