let A={a,b,c} and B={p,q,r} and a function f:A->B is given by f={(a,r),(b,p),(c,q)}. Is f invertible?if so find f-1. also verify f-1o f=IA and f o f-1=IB where IA and IB are identity...

let A={a,b,c} and B={p,q,r} and a function f:A->B is given by f={(a,r),(b,p),(c,q)}. Is f invertible?if so find f-1. also verify f-1o f=IA and f o f-1=IB where IA and IB are identity...

Determine g(x-1) for the following function. g(x)=-4^2+4x-5

The Fibonacci sequence F0, F1, F2, F3, ... is an infinite sequence defined by the two initial values F0 =0, F1 =1, and the rule Fk = Fk-2 + Fk-1 for all k ≥ 2. Let Μ = [1 1 ...

Need help getting the answer bc I can't seem to find the right one

Here are four relations defined on R, the set of real numbers: R1 = { (x, y): x ≤ y } R2 = { (x, y): x > y } R3 = { (x, y): x < y } R4 = { (x, y): x = y } Describe...

f(x)=4x-6 I thought you would use y=mx+b to graph this. Not completely sure about this. If someone could help me with this problem that would be great.

It is related to sets and Relations

the function of f(x) = 6 - 2x has a domain of {0, 2, 4, 6, 8} which of the following is NOT an element of the range of the function, A.) -10, B.) 2, C.) 4, D.) -6.

The function f(x) = 3 - 2x^2 , has a domain {-6, -4, 0, 2, 5} which of the following is an element of the range of the function? A.) 35 B.) 27 C.) 1 D.) -29

P(x) = 5x + 2. If P(b) = 6, then b= ?

I am not sure how to answer this question Let S = {1, 2} and T = {a, b, c}. How many unique functions are there mapping S → T? (Is it 2? because (1,a) and (2,b) ) How many...

chapter = relations and functions '^' stands for 'raised to ' or 'to the power'

So I am trying to study notes and do homework for my math class. We are studying Relations and Inverse functions. I know how to go from a Relation to a Inverse function and when i am given the domain...

We have to recurrence relation an = 2an-1 - an-2. Find a2 and a3 if: a) a0 = 1 og a1 = 0? b) a0 = 0 og a1 = 1? c) a0 = 1 og a1 = 2?

We have to recurrence relation an = 2an-1 - an-2. Find a2 and a3 if: a) a0 = 1 and a1= 1? b) a0 = 0 and a1 = 0?

chapter = relations and functions '^' stands for 'raised to ' or 'to the power'

f(x^2) for f(x)=√x+4 +6

I want to know if different scenarios in relations must satisfy all the value in the relation. In mathematical relations, a given set relation is reflexive if all the elements in the set exhibit...

equation that passes through point (7,2) and is both parallel and perpendicular to y= -3

Let f be a function defined by f:x→5x2 + 2 : x∈R i) Find the image of 3 under f. ii)Find f(3).f(2) iii)Find x such that f(x)=22 Please response to this question...