Consider the given composite function,
[tex]f\circ g(x)=\frac{1}{x+4}[/tex]Clearly, the composite function is undefined for the value x = - 4.
It is because at this value the denomainator of the rational function becomes zero, which makes the fraction indeterminate.
Given the function,
[tex]g(x)=x+4[/tex]Substitute x = - 4,
[tex]\begin{gathered} g(-4)=-4+4 \\ g(-4)=0 \end{gathered}[/tex]Thus, the required value is 0.
