SOLUTION: Composition of Functions problem:
r(t)=q(p(t))
Given:
t | p(t) | q(t) | r(t)
----------- ----------- -----
0 | 4 | ?? | ??
----------- -----------
Algebra.Com
Question 367753: Composition of Functions problem:
r(t)=q(p(t))
Given:
t | p(t) | q(t) | r(t)
-----------------------------
0 | 4 | ?? | ??
-----------------------------
1 | ?? | 2 | 1
-----------------------------
2 | ?? | ?? | 0
-----------------------------
3 | 2 | 0 | 4
-----------------------------
4 | 1 | 5 | ??
-----------------------------
5 | 0 | 1 | 3
-----------------------------
Fill in ?? with correct answer. I need help with a process to solve this problem.
I can solve r(0)=?? by this method: r(0)=q(p(0)) knowing that r(0) will be equal to q(p(0)), then r(0)=q(4) because I find that p(0) is equal to 4 which becomes q(4), next I see that q(4) is equal to 5, therefore r(0)=5.
I am having difficulty with a process to find for p(t) and q(t).
Any ideas?
Thanks,
Deb
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Composition of Functions problem:
r(t)=q(p(t))
Given:
t | p(t) | q(t) | r(t)
-----------------------------
0 | 4 | ?? | ??...........r(0)= q(p(0))=q(4)= 5
..........................q(0) =q[p(5)] = r(5) = 3
-----------------------------
1 | ?? | 2 | 1..........................p(1) = q^-1(r(1))= q^-1(1) = 5
-----------------------------
2 | ?? | ?? | 0...........p(2) = q^-1(r(2)) = q^-1(0)= 3
..........................q(2) = p^-1(r(2)) = p^-1(0) = 5
-----------------------------
3 | 2 | 0 | 4
-----------------------------
4 | 1 | 5 | ??................r(4) = q(p(4)) = q(1)=2
-----------------------------
5 | 0 | 1 | 3
-----------------------------
Fill in ?? with correct answer. I need help with a process to solve this problem.
I can solve r(0)=?? by this method: r(0)=q(p(0)) knowing that r(0) will be equal to q(p(0)), then r(0)=q(4) because I find that p(0) is equal to 4 which becomes q(4), next I see that q(4) is equal to 5, therefore r(0)=5.
=======================
Cheers,
Stan H.
RELATED QUESTIONS
1. P V Q
2. Q -> (R & S)
3. (R V P) -> T /... (answered by Edwin McCravy)
Prove the argument:
1. p -> q
2. r \/ s
3. ~s -> ~t
4. ~q \/ s
5. ~s
6. (~p... (answered by Edwin McCravy)
Write the statement in symbols using the p and q given below. Then construct a truth... (answered by swincher4391)
Given function p and t defined by the table below
x, -2, -1, 0, 1, 2
p(x),
(answered by Edwin McCravy)
Can somebody please gimme a hand
1.¬S -> Q
2.(U v P) -> (F v T)
3.(R & S) -> T
4.¬R (answered by Edwin McCravy)
Q & P, R & -T / -T & Q
(answered by solver91311)
r(t)=t^2-5t+4 over t^2-9
r(1) r(2)... (answered by rapaljer)
Construct Conditional Proofs
1. P → Q
2. (P • Q) → R
3. P → (R... (answered by jim_thompson5910)
1. ~P∨Q
2. Q→R ∴ P→R
1. R∨~Q
2. P→Q
3. ~R (answered by Edwin McCravy)