Question

-4 is undefined for (fºg)(x).Reason: g(-4) =which is undefined for f.

Answer 1

Consider the given composite function,

`f\circ g(x)=(1)/(x+4)`

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,

`g(x)=x+4`

Substitute x = - 4,

`\begin{gathered} g(-4)=-4+4 \\ g(-4)=0 \end{gathered}`

Thus, the required value is 0.