3. Let f A B be a function, and let Ao C A, BoC B. Prove that (a) f(f(f(Ao))) = f(Ao); (b) f(f(f¹(Bo))) = f-¹(Bo).

Q: 2. If f(x) = xe, determine f(2018) (r). (A) (x - 2017) e (D) (x+2018)e* OA OBO OD OE (B) (x+2017) e…

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Q: Define F : R → R and G : R → Z by the following formulas: F(x) = (x^2)/3 and G(x) = ⌊x⌋ for every x…

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Q: Using a table, Find f [1.3, 2.4, 3.6] where f (x) = x²

A: For a function, , x is the independent variable and y is the dependent variable.

Q: Evaluate (f x g)(2), given that f(z) - and g(z) -. 2. de".

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Q: What is the domain of the function f (x) : (-1,0) U [1, 00) b. (-1,0] U (1, ∞) c. (-00, –1) U [0,1)…

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Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0…

A: To find For what values of b is f is continuous at x=2.

Q: Exercise 5: If f(x) = x5 + 2x³ + 2x, check that f is injective and find (f-1)'(-5).

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Q: Let f: A --> B and let B1 and B2 be subsets of B. What is f-1(B1), the inverse image of B1? Prove or…

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Q: Suppose that F(x) is a function such that F"(x) = f(x). Which of the following statements is true? […

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Q: Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1,…

A: A composite function is generally a function that is written inside another function. Composition…

Q: Let f be a function defined on [11, 25]. Suppose for every x = (11, 25) d. dx -f(x) = 0. If f(12) =…

A: Given query is to find the value o f(24).