QuestionFind $f[g(x)]$ and $g[f(x)]$ for $f(x)=\frac{4}{x+3}$ and $g(x)=x^{2}-3$.

Studdy Solution
implify the expression.
$$g[f(x)] = \frac{16}{(x+3)^{2}}-3$$So, $f[g(x)] = \frac{4}{x^{2}}$ and $g[f(x)] = \frac{16}{(x+3)^{2}}-3$.