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Answers are on the 4th picture Find functions f(x) and g(x) so the given function can be expressed as h(x) = f(8(x)). 22. h (x
Answers are on the 4th picture
Find functions f(x) and g(x) so the given function can be expressed as h(x) = f(8(x)). 22. h (x ) = (x+ 2) 23. h (x) =- 4 (x + 2)? 24. h (x) =3+Vx-2 25. Given the function f (x) = 2x2 + 4 and g(x) =2, find f+ g, f- g, fg and f/g and determine each of their domains.26. The function A(d) gives the pain level on a scale of 0-10 experienced by a patient with d milligrams of a pain reduction drug in their system. The milligrams of drug in the patient's system after t minutes is modeled by m(1) . To determine when the patient will be at a pain level of 4, you would need to: a. Evaluate A(m(4)) b. Evaluate m( A(4)) c. Solve A(m(t)=4 d. Solve m( A(d))=4 27. The radius r, in inches, of a spherical balloon is related to the volume, V, by r(V) = = 3V Air is pumped into the balloon, so the volume after i seconds is given by V (t) =10+20t. a. Find the composite function r(V (:)) b. Find the radius after 20 seconds28. A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of time in minutes according to r(t) = 25vt + 2 , find the area of the ripple as a function of time. Find the area of the ripple at t = 2 minutes.18. (Vx - 6 +6, x2 19. 1-4x D = (0,00) 20. X- 1 3x-1 , D = R \\ { 1 , -3 21. 2 x - 5 D = [2, 00) \\ 15} 22. Answers may vary 23. Answers may vary 24. Answers may vary 25. 2x2 + 4 + 1/2x, D. = \\ {0}, 2x2+ 4 - 1/2x, D = \\ {0}, x+ 2/x, D = R\\ {0}, 4x3 + 8x, D = \\ {} 26. c 27. 3 15+30t 4.61in 2TL 28. 6251 (t + 2), 7853.98in2Step by Step Solution
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