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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Solve.The roof of a building is in the shape of the hyperbola  where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls.A = 6 m

A. 269 m B. 42 m C. 16.4 m D. 6.5 m

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Find the term indicated in the expansion.(5x + 4)5; 5th term

A. 6400x  B. 5120  C. 1600x  D. 8000x2

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Translate the word phrase into an algebraic expression.$147 less the cost x

A. 147x B. 147 - x C. 147  D. x + 147 

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Solve the problem.One Internet service provider has the following rate schedule for high-speed Internet service:Monthly service charge$18.001st 50 hours of usefreeNext 50 hours of use$0.25/hourOver 100 hours of use$1.00/hourWhat is the charge for 50 hours of high-speed Internet use in one month?What is the charge for 75 hours of high-speed Internet use in one month?What is the charge for 135 hours of high-speed Internet use in one month?

Fill in the blank(s) with the appropriate word(s).

Mathematics