MATHS 102 Tutorial 4 Sect 4.1- This is a skills based tutorial, to give ; [Q1]:(b)l (C, i in the course this week. Your participation will be recor . You will get credit for this tutorial if the tutor determine: [QZI'taL (b,' (d) g the tutorial hour. [Q3l=(al. (d) [05]: (a). (C) Functions 1 - Section 4.1 [Q6]: (b) Practice Questions . For f($) = x2 2, evaluate: (a) f (3) H W . Let f($) = 5x + 1 and 9(3) = 5 i be dened on their domains. Find the following functions and give their domains: m (O) (f o not) H I-IINT (for d): Rewrite 9(3) = 5 i as 9(a) = 53x 1. Multiply out any brackets in the working for (g o g)(x), and ensure to use a common denominator where required. . Find f'1 for each of the following: HINT: Use the tool f(f'1(x)) = a: _ (c) f(m)=2(x1)+5 (b) re) = g ( . . Sketch the graphs of at) = 2:1: + 1 and f'1(m) on the same set of axes. Make sure the scales of your a: and y axes are the same. What symmetry do you notice? (Use Desmos to check) Challenge Questions . Which of the following formulae dene y as a function of a: on the domain of all real numbers? Explain your answers. - (b):1:2y3=0 _ . Let f($) = x2 4:12 and 9(3) = i be dened on their domains. Find the following functions and give their domains: (3) (f 0 9X3) w w _ 1 . Find the domain and range of 9(3) = :32 + 1 . [A challenge plusl]