Question

If F(x) = 3x and g(x) = 2x, what is (g.f) (x)?

Answer 1

$\begin{gathered} f(x)=3x \\ g(x)=2x \end{gathered}$

Composition of functions:

$(f\circ g)(x)=f(g(x))$

Substitute the x in f for g(x):

$(f\circ g)(x)=3(g(x))=3(2x)=6x$

Then, the given composition is equal to 6x