Invertible linear-fractional functions. Let f : R" → R" be the linear-fractional function f(x) = (Ax + b)/(c"x+d), dom f = {r | c"x +d >0}. %3D Suppose the matrix Q = cT d is nonsingular. Show that f is invertible and that f is a linear-fractional mapping. Give an explicit expression forf and its domain in terms of A, b, c, and d. Hint. It may be easier to express f in terms of Q.

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: Solve: 53|2x2 > 10

A:

Q: Determine the number of non-negative integer solutions of

A:

Q: solve 6x-2.3x=-95.4

A: Consider the given equation.

Q: Solve ,  15(p-6) = 15(p+5)

A: Given: 15(p−6)=15(p+5)

Q: A city has an elevation of -17 meters is closer to sea level than a city that has an elevation of…

A:

Q: –+l l5=405 %3D

A: We can solve the quinary number system problem as below.

Q: Solve: 2 0 -1 0 2 -6 1 -2 -3 -2 0 1 -5

A:

Q: Solve: l 2x + 4 l > 3

A: To solve 2x+4>3

Q: Solve: a² + 12a = -27

A:

Q: 3 + 4lnx =15

A: subtract both sides by 3

Q: Solve the equation

A: Given: 4x4+10x3=6x2+15x

Q: Solve a35bx= 71-x

A: Given :          35x = 71 - x   To solve for x.

Q: Solve: 2x + 5 = 3 or 2x + 3 < 3.

A: Given: 2x+5≥3 . 2x+3&lt;3 . When 2x+5≥3, 2x≥-2  x≥-1 When 2x+3&lt;3, 2x&lt;0  x&lt;0

Q: The balance in a bank account is given by the formula B=120x1.02t. Here B is the balance in dollars…

A:

Q: A 12-foot flag pole is next to a 49 foot building. How long is the flag poles shadow if it is 10…

A: Ratio of heights=Ratio of shadows

Q: Solve : 34x= (1mod 89 ) gcd ( 34 , 89 )

A:

Q: Solve the equationh + 1296 =0

A: solution.

Q: solve: 23x-2=7

A: Consider the equation

Q: Tony sells sporting goods. He makes a 10 % commission on every dollars of sales that he makes. One…

A: Given that  Tony sells sporting goods. He makes a 10 % commission on every dollars of sales that he…

Q: Solve: 4*1=162x-4

A:

Q: Solve : 2x2 = 250

A: 2x2=2502x

Q: 54. P = 21 + 2w: solve for l

A: Given P = 2l +2wHere we solve for l

Q: he sum of three consecutive multiples of 8 is 888 . Find the multiples

A:

Q: What is the greatest solution of x in the equation x2 + 8x - 30 18? %3D

A: To find the greatest solution of x :- Given the equation :-

Q: solve (2x-5) - 6 = -5

A: Given, (2x-5) - 6 = -5  So,  2x - 5 -6 = -5 2x -11 = -5 2x = 11-5 2x = 6

Q: 2. Solve 3x² +10=-26

A: