\fNote: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Find the inverse function for f (x) = v2x-6 . * Math symbols Relations * Geometry * Groups * Trigonometry StatisticsFind the inverse of the function f (x) = 5x - 6 x+2 O A. This function is not one-to-one and therefore has no inverse. O B. f-1 (x) = 2x+6 x +5 O C. f-1( x) = x+2 5x- 6 O D. f-1( x) = -2x - 6 x - 5Determine the domain of (x) when f (x) = - and g (x) = Vx+5. . X O A. (-5,0) (0,00) O B. (-00,-5)1(-5, 0)1 (0,00) O C. [-5,00) O D. (-00,-5]Determine the domain and range for the inverse of f ( x) = -+2. 4x O A. domain: (-co,0) range: (2,00) O B. domain: (-co, 2), (2,00) range: (-00, 0) U (0,co) O C. domain: (-co, 0) U (0,co) range: (-00, 2)1 (2, 00) O D. domain: (0,00) range: (-00, 2)-6 -5 -4 -3 .2 -1_1 .2 Use the graph of the function to answer the question. Identify the range of the graphed function. \fThe function f (x)= (x+4)"+3 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inverse function. O A. restricted domain: x 5-4; f-1 (x) =-4+ vx-3 O B. restricted domain: x 2-4; f(x)=-4- Vx+3 O C. restricted domain: x 2-4; f-1(x) =-4+ vx-3 O D. restricted domain: x 5-4; f-(x) =-4+ vx+3Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Let f (x) = (x-2) +8. a. Show that this function is one-to-one algebraically. b. Find the inverse of / (x) . * Math symbols Relations Geometry Groups * Trigonometry StatisticsUse the image to answer the question. Which function, g or h, is the inverse function for function f? . the function h because the graphs of f and h are symmetrical about the line y = x . the function 9 because the graphs of f and g are symmetrical about the yaxis . the function 9 because the graphs of f and g are symmetrical about the line y = x . neither function Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Let / (x)= - and g (x) = x3+5x. a. Find (f g)(x). b. Find the domain and range of (f g)(x). Math symbols Relations Geometry Groups * Trigonometry Statistics\fUse the graph of the imam to answer the question. Is this function one-to-one'? Explain how you determined your answer. \fNote: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Find the inverse of g (x) = 1 --7 and then find its domain and range. 3x * Math symbols Relations Geometry Groups * Trigonometry StatisticsFind (fog) (x) and its domain when f (x) = x+4 and g (x) = Vx+2. O A. (fog) (x) = x2 +6; (-00,00) O B. (fog) (x) = x+6; (-00, 00) O c. (fog)(x) = x+6;[-2,00) O D. (fog) (x) = Vx2+6;[-2,00)Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. X Determine whether / (x) = 5x +1 and g (x) = are inverse functions. Explain how you know. X 5x +1 Math symbols Relations Geometry Groups Trigonometry Statistics