Let m(x)=f(g(x)) and n(x)=g(f(x)). Using the table below give m(1)=______and n(1)=_______.

Question

Let m(x)=f(g(x)) and n(x)=g(f(x)). Using the table below give m(1)=______and n(1)=_______.

x	0	1	2	3	4	5
f(x)	2	0	5	1	3	4
g(x)	1	2	4	0	5	3

Answer 1

m(x) = f(g(x)) so m(1) = f(g(1)). From the table, g(1) = 2 (yellow square) making the expression f(2) and then, from the table, f(2) = 5 (green square) so m(1) = 5.

n(x) = g(f(x) so n(1) = g(f(1)). From the table, f(1) = 0 making the expression g(0) and then, from the table, g(0) = 1 so n(1) = 1.