Use the inverse found in Problem 14 to solve
The inverse of
is
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Chapter 3 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
- Determine whether each of the following statements is true or false, and explain why. A differential is a real number.arrow_forwardBrendan claims that each of the following pairs of functions are inverses. However, ONE of the pairs are NOT inverses. Pick the pair of functions that are NOT actually inverses. y – 11 Of(x) = 5x + 11 and f -'(y) 5 x + 3 Of(x) and f-'(y) = 4y – 3 1 Of(x) = 2x + 4 and ƒ -1(y) 2 Of(x) = 5x + 20 and f -'(y) 1 - 20 54 Of(x) + 1 and f -'(y) = 7(y – 1) 7arrow_forwardFind the inverse for h(x)=3-29x. Verify your answer!arrow_forward
- 1. Find the inverse of the following functions and its domain and range. (9) a)f(x) = - 8 - 5x b) {(-7, 15), (0, –16), (5, 9), (17, –8)} c) h(x) = x + 7arrow_forwardDetermine the equation of the inverse of y=e*x+³ - 4 y = (+4) O y = -lnx-3 4 O y =lnx+1 Oy=In( x +4 )-3arrow_forwardWhich of the following is the inverse of y = x + 1/x? a. f-1(x) = 1/(x +1) b. f-1(x) = (x-1)/x c. f-1(x) = x + 1/(x - 1) d. f-1(x) = 1/(x - 1)arrow_forward
- Find the inverse for each of the following functions. a) f(x) = 19x + 10 z - 10 f-¹(x) = 19 b) g(x) = 11x³ g ¹(x) = c) h(x) h ¹(x) = 11x³ - 4 = 19 x + 4 d) j(x)=√x + 11 j-¹(x) =arrow_forward3. Let p = 37, and let f = x7 – 1. For each a in F,[r]/f, either find the inverse a-l or explain why the inverse does not exist. A computer program is needed for some (but not all) of these. (a) a = 8 (c) a = x (e) a = x+2 a = x² +1 (b) a = 0 (d) a = x+ 1 (f) a = a² – 1 (h) a = x* + x? +1arrow_forward6. Find the inverse of f ( x )=5 x−1 and the inverse of g ( x)=x2+8arrow_forward
- 2) 1 Q.4 Find the formula and domain of fog and gof when f(x)=x-- and g (x)3D- 1+x* Q.5 Determine whether f and g are inverse functions when f(x) x-2 and 8(x)=x' +2arrow_forward15. Find the inverse of the function f(x)= -2x+6. A. f-¹(x) = x-2/6 B. f-¹(x) = x-6/₂ O A. O B. O C. O D. c. f-¹(x) = (x-2) D. f-¹(x) = (x-6/₂)arrow_forward(5) Let g(x) be the inverse function of f(x) = 2x³ + 4x + 4. Calculate g(10), without finding a formula for g(æ), and compute gʻ(10).arrow_forward
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,