What does (f+g)(x) denote?

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Multiple Choice

What does (f+g)(x) denote?

Explanation:
Adding two functions creates a new function by summing their outputs for each input. So (f+g)(x) means you take the value f gives at x and add the value g gives at x, giving (f+g)(x) = f(x) + g(x). This is not subtraction or composition; it’s simply combining the two outputs. Therefore, the description that matches is to add the functions f(x) and g(x).

Adding two functions creates a new function by summing their outputs for each input. So (f+g)(x) means you take the value f gives at x and add the value g gives at x, giving (f+g)(x) = f(x) + g(x). This is not subtraction or composition; it’s simply combining the two outputs. Therefore, the description that matches is to add the functions f(x) and g(x).

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