SOLUTION: From the information in the table providing values of f(x) and g(x), evaluate (f o g)^-1 (2) x 1 2 3 4 5 f(x) 3 4 5 1 2 g(x) 5 4 2 3 1

Algebra ->  Test -> SOLUTION: From the information in the table providing values of f(x) and g(x), evaluate (f o g)^-1 (2) x 1 2 3 4 5 f(x) 3 4 5 1 2 g(x) 5 4 2 3 1      Log On


   

Question 107113: From the information in the table providing values of f(x) and g(x), evaluate (f o g)^-1 (2)
x 1 2 3 4 5
f(x) 3 4 5 1 2
g(x) 5 4 2 3 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28f+o+g%28x%29%29=f%28g%28x%29%29
g%282%29=4
f%28g%282%29%29=f%284%29=1
Now, I'm not sure if the -1 exponent means the reciprocal or if you're implying the inverse.
If you mean reciprocal, then
%28f+o+g%28x%29%29%5E-1=1%2F1=1%29
If you mean inverse, then find y such that
f%28y%29=1}
Therefore then
%28f+o+g%28x%29%29%5E-1=4%29
since f(4)=1.