Question

if (x) = x^2 and g(x) = 2x+1, what expression is equivalent to (f o g)(x)?

Answer 1

The composite function is defined as:

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

Then in this case we have:

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

Therefore:

$(f\circ g)(x)=(2x+1)^2$