MAKE SURE TO ANSWER ALL QUESTIONS CORRECTLY AND ENTIRELY, KEEP IN MY THAT FOR QUESTIONS WHERE YOU SEE THE RED BOX IT'S BECAUSE I GOT THE FIRST ATTEMPT WRONG SO NOW I NEED YOU TO RE-DO IT AND FIND THE CORRECT ANSWERS. THANKS!!!

For the following exercises, determine the domain for each function in interval notation. Given f(x) = x + 6x and g(x) = 5 - x2, find f + 9, f - g and J. g (f + g) (20) = 6x+5 Preview Domain: (-00,00) Preview (f - g) (2) = 2x^2+6x-5 Preview Domain: (-00,00) Preview (*) (2) - (x^2+6x)/(5-x^2) Preview Domain: (-oo,-sqrt(5))U(-sqrt(5),5)U(sqrt(5),oo) PreviewFor the following exercise, use each pair of functions to find f(g(x)) and g(f(x)). Simplify your answers. f (20 ) = 1 x - 2 9(2) = + 2 f(g(x)) = x/5 Preview 9(f(2)) = X - 8 PreviewFor the following exercises, find functions f(x) and g(x) so the given functions can be expressed as h(x) = f(g(z)). h(ac) = Vac+ 9 f (20) = 4sqrt(x) X Preview g(x) = x+9 PreviewFor the following exercise, write a formula for the function obtained when the graph is shifted as described. f(a:) = is shifted up 2 units and to the left 8 units. m = For the following exercise, describe how the graph of the function is a transformation of the graph of the original function f. y = f(x - 48) Select an answer C , units Select an answer &For the following exercise, describe how the graph of the function is a transformation of the graph of the original function f. y = f(2) + 4 Select an answer & units Select an answerFor the following exercise, describe how the graph of the function is a transformation of the graph of the original function f. y = f(x - 4) + 5 Horizontal shift: units Select an answer @ and Vertical shift: unit Select an answer &For the following exercise, write an equation for the graphed function by using transformations of the graph of one of the toolkit functions. For the following exercise, write an equation for the graphed function by using transformations of the graph of one of the toolkit functions. an): ~ For the following exercise, use the graph of the transformed toolkit function to write a formula for the resulting function. .f=_ For the following exercise, sketch the graph of the transformation of a toolkit function. f(a) = - 2\\+2 8- 10 - 8 6 4 -2 2 4 6 Clear All Draw:1 Describe all numbers as that are at a distance of E from the number 4. Express this using absolute value Preview notation. For the following exercise, find the x- and y-intercepts of the graph of the function. Enter "DNE" in both boxes if there are no x-intercepts. f(2) = 2/2 + 3|+3 ac - intercepts (from least to greatest): (0 x, 0), ( x, 0) y - intercept: (0, 9 )\fThe true proportion p of people who give a favorable rating to Congress is 9 % with a margin of error of 2.5 % . Describe this statement using an absolute Value equation. Answer in percents, not decimals (but do not input percent signs), Preview Get Help: Points possib . Students who score within 19 points of the number 81 will pass a particular test. Write this statement using absolute value notation and use the variable x for the score. Preview Get Help: >=