Question

For each problem, construct two composite functions, . Evaluate each composite function for x=2

f(x)=3x g(x)=1/x
f(g)*(x)=3x(1)/x
x=2
3x(1)/x=6
g(f)*(x)=(3x)=2*3x=6
x=2
3*(2)=6*6=36

Answer 1

f(g) = 3g = 3(1/x) = 3/x
g(f) = 1/f = 1/(3x)

f(g) does not mean f*g, it means "f of g".
Since "f of x" is 3x, "f of g" is 3g.