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Which of the following mathematical operations can be used with functions? Select all that apply.

Question

Which of the following mathematical operations can be used with functions? Select all that apply.

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Solution

The mathematical operations that can be used with functions include:

  1. Addition: If you have two functions, f(x) and g(x), you can add them together to create a new function h(x) = f(x) + g(x).

  2. Subtraction: Similarly, you can subtract one function from another to get a new function. If you have f(x) and g(x), you can create h(x) = f(x) - g(x).

  3. Multiplication: You can also multiply functions together. If you have f(x) and g(x), you can create h(x) = f(x) * g(x).

  4. Division: Functions can also be divided by each other, as long as the denominator function isn't zero. If you have f(x) and g(x), you can create h(x) = f(x) / g(x), as long as g(x) ≠ 0.

  5. Composition: This is when you apply one function to the result of another function. If you have f(x) and g(x), you can create h(x) = f(g(x)).

  6. Exponentiation: You can raise a function to the power of another function. If you have f(x) and g(x), you can create h(x) = f(x) ^ g(x).

So, all of the above operations can be used with functions.

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