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How do you calculate the expression f(3) + g(5) when f(3) equals 2 and g(5) equals -17?

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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.

User BrettRobi
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