I need help with these functions assignments

. Question 1 > Function Operations Given the functions: f(x) = 10x + 3 and g(x) = x2 + 5x - 7, determine each of the following. Give your answers as simplified expressions written in descending order. Evaluate (f + g)(x) (f + g) () = Evaluate (f - g) (I) (f - g)(z) = Evaluate (f . 9) (x) (f . g) (x) = Evaluate Question Help: D Post to forum > Next Question. Question 2 Next Question. Question 3 Next Question. Question 4 Find the domain of the function f(@) = V8x -5 In interval form, the domain of f is Question Help: D Post to forum > Next QuestionQuestion 5 Consider the functions f(@) = - 4x + 9 and g(@) = v-> + 3. Determine each of the following fog(x) = Give the domain of f o g(x) go f(x) Give the domain of g o f(x) Question Help: D Post to forum > Next Question. Question 6 > f(I) = 71 + 70 g(x) = x' +3x - 70 Find The domain of (@) isI # Question Help: D Post to forum > Next Question. Question 7 Function Decomposition Given the composition h(@) = f(g(x)) If h(x) = (x +9) and f(x) = >, find the function g(I). g(I)= Question Help: Video 1 0) Video 2 D Post to forum > Next Question. Question 8 Describe how the graph of the function y = = - 2 can be obtained from one of the basic functions. Then graph the function at right. 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 12 3. $ 9 10 Start with the graph of (enter your basic function as an equation usingy = ) Then shift the graph unit (s) Select an answer v Clear All Draw: 7 Describe how the graph of the function y = a - 2 can be obtained from one of the basic functions. Then graph the function at right. 10 -9 -8 -7 -6 -5 -4 -3 -2 -1; 1 2 3 4 5 6 7 8 9 10 Start with the graph of (enter your basic function as an equation, usingy = ) Then shift the graph unit(s ) Select an answer v Clear All Draw:Question 9 Draw the graph of f() = - (x - 4) + 3 below. -8 -7 6 -5 -4-3 -2 -1 1 2 4 5 7 8 Clear All Draw: AVO . Question Help: D Post to forum > Next Question. Question 10 Let f(x) = 3x] If g(x) is the graph of f(E) shifted right 5 units, write a formula for g(ET) g(x)= Question Help: D Post to forum > Next QuestionQuestion 13 Use the graph below to fill in the missing values. 5 4 3 f(x) 2 2' 4 f(0) = f(x) = 0 = = f -1(0) = f 1(x) =0 1= Question Help: D Post to forum > Next Question. Question 14 On the left is the graph of the function f(@). On the right, graph f(@) by plotting the two key points of the graph then using the line tool to connect the dots. Double click on the last dot to finish drawing your line. Take the time to be as accurate as possible so the problem grades correctly! 9- -9 -8 -7 6 -5 -4 -3 -2 -1 1 2 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 123 4 5 6 7 8 9 Clear All Draw: Dot Line Question Help: D Post to forum > Next Question. Question 15 LTI Launch , of the following would be inappropriate to show that f(@) = 9: + 8 and g(x) = C - 8 9 are inverses of each other? O Show that f() and g(@) pass the horizontal line test O Compare the table values of f(x) and g(x) O Compare the graphs of f(@) and g(x) O Find the Inverse of f(@) algebraically O Show that f(g(x)) = 9(f(x)) = = Question Help: @Video D Post to forum