Final answer:
To add or subtract functions, perform the operation on the corresponding function values. When multiplying or dividing functions, apply the usual rules of arithmetic. To compose functions, substitute the expression for one function into the other function.
Step-by-step explanation:
Add and Subtract Functions:
To add or subtract functions, you simply perform the indicated operation on the corresponding function values. For example, if you have two functions f(x) and g(x), their sum is given by (f + g)(x) = f(x) + g(x), and their difference is given by (f - g)(x) = f(x) - g(x). You can use a calculator to evaluate these operations for specific values of x.
Multiply and Divide Functions:
When multiplying or dividing functions, you apply the usual rules of arithmetic. For example, if you have two functions f(x) and g(x), their product is given by (f * g)(x) = f(x) * g(x), and their quotient is given by (f / g)(x) = f(x) / g(x), where g(x) ≠ 0. Again, a calculator can help with evaluating these operations.
Compose Functions:
To compose functions, you substitute the expression for one function into the other function. For example, if you have two functions f(x) and g(x), their composition is given by (f ∘ g)(x) = f(g(x)). This means you evaluate g(x) first, and then use the result as the input for f(x). A calculator can be useful for evaluating these compositions as well.
Therefore, the correct answer is D) All of the above.