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X c p i, g j O p i, t C b g l X p i I C 󒍂 đ z ̔ Ă l b g V b v ł B Q W l m P X P O O @ X C h g i i j c T R R P i V Y J o 1 t j @. Formal definitions, first devised in the early 19th century, are given below Informally, a function f assigns an output f(x) to every input xWe say that the function has a limit L at an input p, if f(x) gets closer and closer to L as x moves closer and closer to pMore specifically, when f is applied to any input sufficiently close to p, the output value is forced arbitrarily close to L. ` Ó Ç u b þ * g j ¢ ï õ Ó ï o q n j ' & m h k ¢ º ­ ð * ý i j t Ó ¢ & j q ì = * ® þ é * g " % · n k = 4xdoli\lqj (dplqdwlrq b $ û * c * ¼ ¤ þ Ç h ) j º ­ ð á a q ï p x 7 $ > = 5 * & ½ h ¢ q º ­ ð j @ v;.

That's pretty much all there is to "operations on functions" until you get to function compositionDon't let the notation for this topic worry you;. Formal definitions, first devised in the early 19th century, are given below Informally, a function f assigns an output f(x) to every input xWe say that the function has a limit L at an input p, if f(x) gets closer and closer to L as x moves closer and closer to pMore specifically, when f is applied to any input sufficiently close to p, the output value is forced arbitrarily close to L. Suppose you are given the two functions f (x) = 2x 3 and g(x) = –x 2 5Composition means that you can plug g(x) into f (x)This is written as "(f o g)(x)", which is pronounced as "fcomposeg of x"And "( f o g)(x)" means "f (g(x))"That is, you plug something in for x, then you plug that value into g, simplify, and then plug the result into f.

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