Question: Please help with the following questions Question 3 (16 marks) (a) Consider the function f(n) = 2n' + 5 defined as f: R-> R on

Please help with the following questions

Please help with the following questions Question 3 (16 marks) (a) Consider

Question 3 (16 marks) (a) Consider the function f(n) = 2n' + 5 defined as f: R-> R on the set of real numbers. Determine whether the function f(n) is one-to-one [3 marks] (ii) Determine whether the function f(n) is onto. [2 marks] (b) Let f(x) = 2x + 5 be a function from the set of real numbers to the set of real 7-3x numbers. (i) For what value of x is the function undefined? [1 mark] (ii) Find the inverse of f (x). [3 marks] (c) Let /(x) = 3x - 4x and g(x) = 5x - 9 be functions from the set of real numbers to the set of real numbers. Determine whether (g ' D(x) = (I ' g)(x). [5 marks] Find an expression for g (x), that is (g ' g) (x) [2 marks]

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