Please answer all questions correctly. I dont need the full work but i do need you to MAKE SURE that you have the correct answer for all of the questions. That being said, I will only give you a perfect rating ONLY if you answer all questions + provide the correct (answers)! IT DOES LOOK LONG BUT I PROMISE THAT IS NOT THAT LONG OR HARD, SO PLEASE DONT GET DISCOURAGED.

For the following exercises, determine the domain for each function in interval notation. Given f(x) = x2 + 6x and g(x) = 5 - x2, find f + g, f - g and g (f + g) (2) = 6x+5 Preview Domain: (-00,00) Preview (f - g) (2) = 2x^2+6x-5 Preview Domain: (-00,00) Preview (20) = (X-2+6*)/(5-X-2) Preview Domain: (-oo,-sqrt(5))U(-sqrt(5),5)U(sqrt(5),00) PreviewFor the following exercise, use each pair of functions to find f(g(x) ) and g(f(x)). Simplify your answers. f(2) = 1 - 2 92 = + 2 f(g(2)) = 1/(x-2) 1 Preview syntax ok x - 2 9( f ( 20 ) ) 5/x+2 Preview 5 + 2 syntax okFor the following exercise, use each set of functions to find f(g(h(x))). f(ac) = 24 +6, 9(20) = 2+5, h(2) = vac x/5 PreviewFor the following exercises, nd functions f(m) and g(m) so the given functions can be expressed as [1(2) 2 f ( g(m)) There are multiple possible answers. If the answers require exponents, enter the answer with an exponent in f (m) but not in g(m). 5 ha: : (> (2+5? ME - m = .. For the following exercises, find functions f(x) and g(x) so the given functions can be expressed as h(a) = f(g(z)). h(ac) = Vac+ 9 f (20) = Preview 9(2) = PreviewFor the following exercise, use the graphs of f shown in Figure 4 and g, shown in Figure 5 to evaluate the expression .f(9(1)) = For the following exercise, use the graphs of f shown in Figure 6, 9, shown in Figure 7, and h, shown in Figure 8, to evaluate the expression. ~f(9(h(1)) = For the following exercise, use the function values for f and 9 shown in the table below to evaluate the expression. a: 0 1 2 3 4 5 6 7 8 9 f (m) 3 1 7 9 0 5 6 8 9(2) 0 3 5 2 8 9 7 6 1 For the following exercise, use the pair of functions to find f(g(0) ) and g(f(0)). f(a) = 2x + 8, 9(2) = 5+ 22 f(g(0)) = g( f(0)) =For the following exercise, use the functions f(x) = 2x2 + 2 and g(x) = 5x + 1 to evaluate or find the composition function as indicated. f(g(x)) = PreviewFor the following exercise, use the functions f(x) = 2x2 - 4 and g(x) = 3x - 1 to evaluate or find the composition function as indicated. 9(f ( - 2) ) =For the following exercise, use the functions f(x) = x3 + 2 and g(x) = \\x - 2. Find (f o g) (10) and (go f) (10). (f o g)(10) = (go f) (10) =For the following exercise, let F(x) = (x + 1), f(x) = x6, and g(x) = x + 1. True or False: (go f)(x) = F(x)