Flashcard 11 - Next Generation Advanced Algebra and Functions Flashcard Set for the ACCUPLACER Test

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The correct answer is:

\((f + g)(x) = f(x) + g(x)\)
\((f - g)(x) = f(x) - g(x)\)
\((fg)(x) = (f(x))(g(x))\)
\((\frac{f}{g})(x) = \frac{f(x)}{g(x)}\)
\((f \circ g)(x) = f(g(x))\)
If \((f \circ g)(x) = (g \circ f)(x)\), the functions are inverses of each other.


Explanation:

Recall that a function yields a unique output value for every input value. Graphically, functions pass the “vertical line test”: a vertical line will intersect the function at only one point.
Function notation involves an output, \(f(x)\) (read f of x), and an input (or inputs), x, for which a value can be substituted and evaluated with the function.

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