If a function, f(x) has the following properties, find f(2)  The domain of f(x) is the set of natural numbers f(1)=1 f(x+1)=f(x)+3x(x+1)+1

Q: Let f(x) = x² - 6x and g(x) = 4 - x². ▪ (f+g)(4) = (f-g) (4) = (fg)(4) = (4) (4)

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Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Given functions f(x) = Va + 11 and m(x) = a - 3, state the domains of the following functions using…

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

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Q: Given the following two functions, is f(x) - g(x) = g(x)-f(x) true for all functions? f(x)=x²-9,…

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Q: Let f be a function. Then f (a) + f (b) = f (a + b) . O True O False

A: We need to proveor disprove if  fa+fb=fa+b

Q: Let the function f be defined by f(x) = 9-x². If the domain of the function f(x) is D= [-3, 2], what…

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Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

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Q: a student states that the domain of the function f(x) is the set of all real number except 2,6,15…

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Q: Find the domain of f.  f(x) = x - 4/(x - 8)(x + 8)

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Q: A function f(x) is given by the following set of ordered pairs: {(2,6), (4, 12), (5, 15), (9, 27)}.…

A: The function is represented by the ordered pairs 2, 6, 4, 12, 5, 15, 9, 27. (a) Express fx using…