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

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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Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y) = xy2 - yx2, P0(-1, -1)

A.  i -  j
B.  i +  j
C.  i +  j
D.  i -  j

Mathematics

Solve using the elimination method. 9x + 5y = 35-6x + 2y = 14

A. (35, 14) B. (-1, 8) C. (0, 7) D. (0, 8)

Mathematics

If P dollars are invested at the end of each year in an annuity that earns interest at an annual rate r, the amount in the account will be A dollars after n years, where ? ? If $6,500 is invested each year in an annuity earning 10% annual interest, when will the account be worth $55,000? ? Please enter your answer as a number without the units, rounded to one decimal place.

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

Mathematics

Find the product.(3 + x)(4x - 8)

A. 4x2 + 4x - 24 B. 4x2 + 3x - 24 C. 4x2 - 24x + 4 D. x2 + 4x + 4

Mathematics