(d) The statement from part (c) can be interpreted as the original function, when the “in input is 2, the output is 0” because the inverse function reverses the original function. So, the statement can be interpreted as the original function , when the input is 0, what is “in the output?” the answer is 3. So, . 9. (a) (b) (c) (d) 11. 1 4 7 12 16 13. 3 6 9 13 14 The inverse function takes the output from your original function and gives you back the input, or undoes what the function did. So if adds 3 to , to undo that, you would subtract 3 from So, 15. In this case, the function is its own inverse, in other words, putting an output back into the function gives back the original input. So, 17. The inverse function takes the output from your original function and gives you back the input, or undoes what the function did. So if multiplies 11 by and then adds 7, to undo that, you would subtract 7 from and then divide by 11. So, 19. This function is one-to-one and non-decreasing on the interval . The inverse function, restricted to that domain, is . 21. This function is one-to-one and non-decreasing on the interval . The inverse function, restricted to that domain, is . 23. (a) just simplifies to (b) which just simplifies to (c) This tells us that and are inverses, or, they undo each other.
(d) The statement from part (c) can be interpreted as “in the original function, when the input is 2, the output is 0” because the inverse function reverses the original function. So, the statement can be interpreted as “in the original function , when the input is 0, what is the output?” the answer is 3. So, . 9. (a) (b) (c) (d) 1 4 7 12 16 3 6 9 13 14 11. 13. The inverse function takes the output from your original function and gives you back the input, or undoes what the function did. So if adds 3 to , to undo that, you would subtract 3 from So, 15. In this case, the function is its own inverse, in other words, putting an output back into the function gives back the original input. So, 17. The inverse function takes the output from your original function and gives you back the input, or undoes what the function did. So if multiplies 11 by and then adds 7, to undo that, you would subtract 7 from and then divide by 11. So, 19. This function is one-to-one and non-decreasing on the interval . The inverse function, restricted to that domain, is . 21. This function is one-to-one and non-decreasing on the interval . The inverse function, restricted to that domain, is . 23. (a) just simplifies to (b) which just simplifies to (c) This tells us that and are inverses, or, they undo each other.
Chapter%201%20Solutions.docx