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

What will be an ideal response?


Answers may vary. One possible solution is:
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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Find the foci of the given hyperbola. -  = 1

A. (0, -  ) , (0, )
B. (-11, 0), (11, 0)
C. (- , 0) , (, 0)
D. (0, -5), (0, 5)

Mathematics

Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real numbers.-x-4

A. 4x
B. - 
C.
D. -4x

Mathematics

Solve the problem.A rock is propelled upward from the top of a building 200 feet tall at an initial velocity of 160 feet per second. The function that describes the height of the rocket in terms of time t is  Determine the maximum height that the rock reaches.

A. 618 ft B. 600 ft C. 639 ft D. 582 ft

Mathematics

Which of the following equation represents y as a function of x? ?

A. y2= 9 -x B. y3 = x+ 9 C. y2 = x + 9 D. x2 + y = 9 E. x2 + y2 = 9

Mathematics