Question

Find g(f(x)) given f(x)=2x+1 and g(x)=3-x

Answer 1

$\begin{gathered} f(x)=2x+1 \\ g(x)=3-x \end{gathered}$

Composition of functions:

g(f(x)), write g(x) and substitute the x by f(x):

$\begin{gathered} g(f(x))=3-f(x) \\ \\ g(f(x))=3-(2x+1) \\ g(f(x))=3-2x+1 \\ g(f(x))=-2x+4 \end{gathered}$Then, g(f(x)) = -2x +4