Question

What is the definition of the composite function \[f\circ g\]?

Options

• \[(f\circ g)(x)=f(x)+g(x)\]

• \[(f\circ g)(x)=f(g(x))\]

• \[(f\circ g)(x)=g(f(x))\]

• \[(f\circ g)(x)=\frac{f(x)}{g(x)}\]

Answer 1

The composite function applies \[g\] first and then applies \[f\] to the output of \[g\]. Thus, its definition is \[(f\circ g)(x)=f(g(x))\].