For the function f, use composition of functions to show that f-1 is as given.Let . Show that .

What will be an ideal response?


1. (f-1 ? f)(x) = f-1(f(x)) = f-1 =  =  =  =  = x;
2. (f ? f-1)(x) = f(f-1(x)) = f = =   = x

Mathematics

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A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 1, an+1 = an4

A. 1, 1, 1, 1, 1 B. 1, 4, 16, 64, 256, 1024 C. 1, 5, 9, 13, 17 D. 1, 4, 16, 64, 256

Mathematics

Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. The growth parameter for this type of fish is r = 3.0.If the starting population is given by p0 = 0.2, then after one breeding season the population of the pond is given by

A. p1 = 0.6. B. p1 = 0.42. C. p1 = 0.16. D. p1 = 0.48. E. none of these

Mathematics

Convert the measurement as indicated.15 qt to pints

A. 60 pt
B. 3 pt
C. 7 pt
D. 30 pt

Mathematics

Provide an appropriate response.Use the big M method to find the optimal solution to the problem.Maximize P = 6x1 + 2x2subject to x1 + 2x2 ? 20  2x1 + x2 ? 16  x1  + x2 ? 9  x1, x2 ? 0

A. max P = 46 at x1 = 7 , x2 = 2 B. max P = 46 at x1 , x2 = 2 C. max P = - 46 at x1 = 2 , x2 = 7 D. max P = 46 at x1 = 2 , x2 = 7

Mathematics