2. [0/1 Points] DETAILS PREVIOUS ANSWERS LARPCALC11 1.T.002. MY NOTES PRACTICE ANOTHER A cylindrical can has a radius of 2 centimeters. Write the volume V of the can as a function of the height h. 3 41th cm X Enter an equation. Need Help? :7 7 ,, "A Homework 1 - MAT 135, section X + ScholarshipPoints C O & https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=31526991&tags=autosave#question4884863_12 M 53 April's No-Essay Scholarships Worth $39, Check out these new scholarships for ${my 27. [10/13 Points] DETAILS PREVIOUS ANSWERS LARPCALC11 1.PS.009. MY NOTES PRACTICE ANOTHER Consider the functions f(x) = 5x and g(x) = x + 9. (a) Find (f o g)(x). 5x + 45 Excellent! (b) Find (fog) -1(x). x - 45 5 Nice work. (c) Find f-1(x) and g-1(x). f- 1 ( x ) = Way to go! g-1(x) = (x - 8) X Check which variable(s) should be in your answer. (d) Find (g-1 of-1) (x). X Check which variable(s) should be in your answer. Compare the (g-1 of-1)(x) with (f o g) -1(x). (g-1 of-1) (x) = (fog)-1(x) O (g- 1 of - 1) (x ) # (fog ) -1( x )"A Homework 1 - MAT 135, section X + C O & https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=31526991&tags=autosave#question4884863_12 E Impressive work. (e) Repeat parts (a) through (d) for f(x) = x3 + 1 and g(x) = 8x. (f o g)(x) = 512x3 + 1 Nice work! (fog) -1( x) = Vx - 1 8 Good job. f - 1 ( x ) = ( x - 1) 3 Nice job. g-1( x) = 00 /X Nice job! (g-1 of-1) (x) = (fog) -1(x) X Check which variable(s) should be in your answer. Compare the (g-1 of-1)(x) with (f o g) -1(x). (g-1 of-1) (x) = (fog) -1(x) O (g-1 of - 1) (x) * (fog) -1(x) Awesome! (f) Write two one-to-one functions f and g, and repeat parts (a) through (d) for these functions. Make a conjecture about (f o g) -1(x) and (g-1 of-1) (x). (fog) -1(x) = (9-1of-1) (x) O (fog ) -1( x ) = (9-1of - 1) (x) Fantastic job