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A function made of other functions, where the output of one is the input to the other. Example: the functions 2x+3 and x2 together make the composite function (2x+3)2.
0:41 7:48 We write f and in square brackets g of x. And that's red f of g of x. Now the way to construct thisMoreWe write f and in square brackets g of x. And that's red f of g of x. Now the way to construct this composite function f of g of x is by rewriting the function f of x.
0:39 5:22 Composite Functions - YouTube YouTube Start of suggested clip End of suggested clip But if you see like an open circle what it means is it's a composite function one function is insideMoreBut if you see like an open circle what it means is it's a composite function one function is inside of another g is inside of f so this is equivalent to f of g of x so how can we find f of g of x.
You use composite functions whenever you buy a sale (discounted) item. When you are standing in the store trying to decide if you can afford the item, the first thing you calculate is the discount. For example, I want to buy this 20 dollar shirt, and it is on sale at 15% off.
A composite function is generally a function that is written inside another function. Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as \u201cf of g of x\u201d.
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Also called compound function.
: a function whose values are found from two given functions by applying one function to an independent variable and then applying the second function to the result and whose domain consists of those values of the independent variable for which the result yielded by the first function lies in the domain of the second.
You use composite functions whenever you buy a sale (discounted) item. When you are standing in the store trying to decide if you can afford the item, the first thing you calculate is the discount. For example, I want to buy this 20 dollar shirt, and it is on sale at 15% off.
3:55 4:47 Composition of Functions (with variables) - YouTube YouTube Start of suggested clip End of suggested clip So we're replacing our variable with x squared minus 10. So then for the next line all we need to doMoreSo we're replacing our variable with x squared minus 10. So then for the next line all we need to do is distribute. So we have h of x squared minus 10 equals. You have 2x squared.
If a car typically gets 20 mpg, and if you input 10 gallons of gasoline, it will be able to travel roughly 200 miles. The car's efficiency may be a function of the car's design (including weight, tires, and aerodynamics), speed, temperature inside and outside of the car, and other factors.

function composition worksheet