8. (a) Determine whether the mapping f: QQ defined by ƒ() = ² Vm,n EZ, n #0 n is well defined function. Justify your answer. (b) Let f (R\{1}) → (R\ {1}) be a function defined by X f(x)=xVxER\ {1}. Find f and verify that it is indeed an inverse function for the function f. (c) Determine whether or not the functions f: R→ R defined as follows x f(x) = x² +1' is one-to-one.

Q: 2x X-1 X-/

A: Given data:     The given expression is: 2x/(x-1)+1/3 = 5/6 +2/(x-1).     The given expression can…

Q: solve for A =  2 4 0 0     4 2 0 0 0 0 2 4 0 0 4 2

A:

Q: How do I solve this and please provide the steps

A:

Q: 2 1 ū' -1 4

A: Here A = 21-14 Let λ be the eigen value of A, then A - λI = 0 ⇒2-λ1-14-λ =0 i.e. (2-λ)(4-λ) + 1 =…

Q: don't give hand written solution.

A: Approach to solving the question: I approached it using the question you provided.  Detailed…

Q: Samatha said that she could complete 5 math problem  in 4 min she estimated that she could finish…

A: Given that Samantha could finish 5 problems in 4 minutes. All the problems are were the same type…

Q: Nine more than a number divided by three is negativ

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: If 2*+l = 3-* then find the value of x

A:

Q: don't give hand written solution.

A: To determine the conditional density of Y1​ given that Y2=Y3=0, start by understanding the…

Q: 7 more than the product of four and a number is less than 50 times the number

A:

Q: -3.8z + 2.6y = 4.1 5.2r + 6.2y = 3.2

A:

Q: It's wrong, can you re-solve it

A: Area of a triangle is given by,To find:The rate of base when altitude, h = 11.5 cm and area, A = 98…