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Composition of Functions Worksheet 1 Form

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now in this lesson we're going to talk about composite functions so let's say that f of x is equal to 3x minus 4 and that g of x let's say it's equal to x squared minus three what is f of g notice that this is different from f times g if you see a closed circle it's multiplication it's 3x minus 4 times x squared minus 3. but 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 well let's replace g g is x squared minus three and notice that x squared minus three is inside of f so we're going to have to replace x with x squared minus 3. so this is going to be 3 times x squared minus 3 minus 4. so now let's distribute the 3. so that's 3x squared minus 9. minus four which is three x squared minus thirteen now what about g of f how can we find the value of g of f so

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