SOLUTION: From the information in the table providing values of f(x) and g(x), evaluate (f *g) ^1 (3) the table of
.. x = 1, 2, 3, 4, 5 the table of
f(x) = 5, 3, 5, 1, 2 and the table
g(
Algebra.Com
Question 95686: From the information in the table providing values of f(x) and g(x), evaluate (f *g) ^1 (3) the table of
.. x = 1, 2, 3, 4, 5 the table of
f(x) = 5, 3, 5, 1, 2 and the table
g(x) = 4, 5, 1, 3, 2.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
.. x = 1, 2, 3, 4, 5 the table of
f(x) = 5, 3, 5, 1, 2 and the table
g(x) = 4, 5, 1, 3, 2.
Find (f *g) ^1 (3)
--------------------
Comment: I'm going to assume you do not mean *, you mean o
which is the composite of the functions.
[(fog)^-1(3)] = [g^-1of^-1](3))
-------------------
2nd Comment: What does f^-1 mean?
1st: the function "f" relates values on the "x" line above to values
on the "f" line which is below it. Example: f(3)=5.
2nd: f^-1 reverses the process. Example: f^-1(5)=3
3rd: Similarly g(3)=1, so g^-1(1)=3
Ingeneral, f and g are read from the x-level down to the f or g level
So f^-1 and g^-1 are read from the f or g level UP to the x-level.
----------------------------
3rd Comment: What is [(f)o(g)]^-1 ?
To activate fog(x) you first find g(x) then apply f to the result
To activeate [fog]^-1 you fist must get rid of the effect of f then the effect
of g so [fog]^-1 = [g^-1 o f^-1](x)
---------------------------------
[g^-1 o f^-1](3) = [g^-1[f^-1(3)]]
Now, note that f^-1(3) = 2 because you go from the
f level UP to the x level.
= [g^-1[2]]
Then, note that g^-1(2) = 5 because you go from the
g level UP to the x level
= 5
=====================
Hope this helps.
==================
Cheers,
Stan H.
RELATED QUESTIONS
From the information in the table providing values of f(x) and g(x), evaluate (f o g)^-1... (answered by stanbon)
From the information in the table providing values of f(x) and g(x), evaluate (f o g)^-1... (answered by Fombitz)
Greetings, I need some help and the system for figuring out the below problem.... (answered by stanbon)
I really need some help on this question.
from the information in the table providing... (answered by Edwin McCravy)
From the information in the table providing values of f(x) and g(x),
evaluate ( f o... (answered by Nate)
From the information in the table providing values of f(x) and g(x), evaluate (f . g ) ^... (answered by stanbon)
SOMEONE HELP ME PLEASE:
From the information in the table providing values of f(x) and... (answered by stanbon)
I don't understand how to do this. Using the information in the following table... (answered by stanbon)
well the problem I have is with a table. I will do my best to explain it.
"For the... (answered by stanbon)