Evaluate the below?

Question

From the information in the table providing values of f(x) and g(x), evaluate (f • g)^-1(2)

x 1 2 3 4 5
f(x) 3 4 5 1 2
g(x) 5 4 2 3 1
a. 1
b. 2
c. 4
d. 5

Answer 1

g(1) = 5
f(5) = 2
f(g(1) = 2
so inverse of (f • g)^-1(2) = 1

Answer 2

If your problem is asking for the f composite of inverse g at x =2 then the answer is 5.

f(g^-1(2)) = f(4) = 5