Let A = {x ∈ R| x≠0}, and then define f: A->R by:           f(x) = 6x+10/2x         is f one-to-one? Is f onto? is f a bijection? Justify your answers, and if f is a bijection, find its inverse

Q: Consider the functions f : A → B, g : B → A and h : B → A such that if gf = 1 Ą and fh = 1B. Prove…

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Q: Are the following functions? es, and roots Find b x\y 7|3 xly 1|7 xly 713 714 312 1|2 xly 1|7 314…

A: If there is more than one value of y for one x, then the relation is not a function. For this, for…

Q: 3. Prove if the function f : R → R is defined by the rule f (x) = 4.x + 1 for all real numbers x,…

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Q: Viewed as a function f: R → R, a polynomial of odd degree is always surjective. True False

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Q: d) Let the set A = {1, 2, 3,4} and let P(A) denote the power-set of A. Consider the following…

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Q: let a= {0,4,9,1.6} , b={0,3,6,12,20} and f a function. from a to b with f(x)=√x + x. A. Find f(0),…

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Q: Let f : A →B and g : B →C denote functions, and assume g ◦f is injective. a. Prove or disprove: The…

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Q: Viewed as a function f: R → R, a polynomial of even degree is never injective. True False

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Q: Either prove the following statement or disprove it by giving a counterexample: Let f : A → B and g:…

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Q: Express the function F in the form f∘g. (Enter your answers as a comma-separated list. Use…

A: Remark: we know that (f•g)(x) = f(g(x))

Q: a) Give an example of an algebraic function f : Z → Z that is injective but not surjective. You do…

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Q: a) Consider the following function: f₁ ZZ given by f₁(x) = -3x7 +5. Decide whether this function is…

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Q: A function f:R →→R, where R is the set of real- ax² + 5x - 8 numbers, is defined by f(x) = Find a +…

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Q: The restrictions on the domain for f (z) = 2x + are +2 O True O False

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Q: x² – 4 Ax) xx – 2

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