Finding y=f (g (x)) y=4/x^2+9

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Mathematics

Sonny Cannon

26 December, 13:47

Finding y=f (g (x)) y=4/x^2+9

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Myron · Answer 1

y = f (g (x)) is a composite function in that g (x) is the input to f (x).

y=4/x^2+9 is an example of such a composite function. There's more than one way in which y=4/x^2+9 could be decomposed. For example, if we define f (x) as 4x and g (x) as x^2+9, then f (g (x)) = 4 / [ x^2 + 9], which is the same as the given function. We have replaced "x" in f (x) with g (x), which, in turn, is x^2+9.

Your question, "Finding y=f (g (x)) y=4/x^2+9" could be made more informative. For example, you might phrase this question as "decompose y=4/x^2+9 into functions f (x) and g (x), given that f (g (x)) = y=4/x^2+9."