Well, first of all, you have not determined whether you are given that f:A-->B with A={(x,y)|x>0, y>0} or f:R^2-->R^3 or basically nothing and you are asked to find a prper thing yourself?
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<br>Actually the answer to your question about codomain can be found there. The entire destination set is called CODOMAIN. Now, the RANGE is that part of the codomain which will be involved and is acceptable according to the mapping the function defines. Therefore, here B or R^3 is codomain (depending on the information given in the question). ...

Given:
All students at a university have a mentor.
A. Explain why the given described is an onto mapping.
B. Create a own real-world example of an onto mapping without using a math formula
o Explain what set constitutes the domain.
o Explain what set constitutes the codomain.
o Explain what relationship exists betwe

Could you give me a "working" definition of each term and an example of how they are used if possible.
Terms:
- Image
- Mapping
- Range
- Codomain
- Domain
- Surjective
- Injective
- Bijective
- One to one.

Find the inverse of a matrix.
Matrix row 1 = [-1 2] row 2 = [1 3]
Find the inverse of this matrix.
a) Find A-1
b) Find A3
c) Find (A-1)3
d) Use your answers to (b) and (c) to show that (A-1)3 is the inverse of A3.

B1) This question concerns the following two subsets of :
(a) Show that , and find a vector in that does not belong to T. [3]
(b) Show that T is a subspace of . [4]
(c) Show that S is a basis for T, and write down the dimension of T. [7]
(d) Find an orthogonal basis for T that contains the vector .

I need some help with how to answer this question:
Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverse of each other:
f(x)=8x+8 and g(x)= x-8/8
a) f(g(x))= (simplify)
b) g(f(x))= (simplify)
c) f and g are inverse or are not inverse of each other

1a.)Is y=x^4 a single- or multi-valued function?
b.)Is y=f(x)=x^2+4x an even, odd, or neither
function?
c.)What is the inverse function of y=x^4
d.)What is the inverse function of (b.),y=x^2+4x?
e.)Is the inverse function from (d.), odd, even, or
neither?

F(x) = 2x^2 - 8x, where x = or > 2
Even though I know that this particular quadratic equation does have an inverse since the domain is limited, I don't know how to figure out the formula for the inverse for a quadratic equation. I don't know how to solve for x, since there are two different x's.
Thank you!