Final answer:
To calculate the expression f(3) + g(5), with f(3) = 2 and g(5) = -17, you add the two values together. The result is 2 + (-17), which equals -15. Thus, f(3) + g(5) = -15.
Step-by-step explanation:
The student is asking how to calculate the expression f(3) + g(5) given that f(3) equals 2 and g(5) equals -17. To find the value of this expression, you simply add the value of f(3) to the value of g(5). Using the rules of addition: when two numbers having opposite signs are added, subtract the smaller number from the larger number, and the answer has the sign of the larger number.
In this case:
- f(3) = 2 (a positive number)
- g(5) = -17 (a negative number)
- To add these together: 2 + (-17)
Subtract the smaller number (2) from the larger number (17) and keep the sign of the larger number (negative in this case).
The resulting calculation is:
2 + (-17) = -15
Therefore, the value of the expression f(3) + g(5) is -15.