# operations on functions

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Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why.

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#### Solution Preview

Generally, the subjective order of ease in increasing difficulty is the following for operations on functions:

Addition (Easiest), (f + g)(x)

Subtraction, (f - g)(x)

Multiplication, (fÃ—g)(x)

Division (Most Abstract), (f / g)(x)

Note: Does not include finding f(g(x)) and finding inverse functions.

Addition is considered the easiest to perform because from a young age, children are counting upward ...

#### Solution Summary

The subjective order of ease in increasing difficulty for operations on functions is articulated.

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