Please help me answer exercise, "6.1 (a)-(c), 6.2 (a)-(b), 6.3 (a)-(d), 6.4 (a)-(c), 6.5 (a)-(b), 6.6, 6.7

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Exercise 6.1. Find f + g, f - g, f . g for the functions below. State their domain. a) f (a) = x2 + 62, and g(x) = 3x - 5, b) f (ac) = 203 +5, and g(ac) = 5x2 + 7, c) f(x) = 3x + 7Vx, and g(x) = 2x2 +5Vx,. Find &, and & for the functions below. State their domain, a) f (x) = 3x + 6, and g(x) = 2x - 8, b) f(ac) = 2+2, and g(x) = x2 - 5x +4,Exercise 6.3. Let f(x) = 2x - 3 and g(x) = 3x2 + 4x. Find the following compositions a) f(g(2)), b) g(f ( 2) ), c) f(f (5) ), d) f(5g(-3)),Exercise 6.4. Find the composition (fog) (a) for the functions: a) f(x) = 3x - 5, and g(x) = 2x + 3, b) f(ac) = 22+2, and g(x) = x+3, c) f(ac) = 202 - 32 +2, and g(x) = 2x + 1,Exercise 6.5. Find the compositions (fog) (x), (gof) (x), (fof) (x), (gog)(x) for the following functions: a) f (ac) = 2x + 4, and g(x) = x - 5, b) f (20) = 2+3, and g(x) = x2 - 2x,Exercise 6.6. Let f and g be the functions defined by the following table. Complete the table given below. 7 f (x) 4 g(x) 2 f (20) + 3 4g (20) + 5 g(x) - 2f (a) f (x + 3) Exercise 6.7. Let f and g be the functions defined by the following table. Complete the table by composing the given functions. x 1 2 3 4 5 6 f () 3 1 2 5 6 3 g(x) 5 2 6 1 2 4 (go f) (x) (fog) (x ) ( fo f) (x) (gog) (xx)