Question

f(x)=(3x)/(x+3) and g(x)=2/(4x-1)
find f of g and g of f

Answer 1

\[f(g(x))\] work from the inside first
\[f(\frac{2}{4x-1})\]

Answer 2

then
\[f(\spadesuit) = \frac{3\spadesuit}{\spadesuit +3}\] so
\[f(\frac{2}{4x-1})=\frac{3\frac{2}{4x-1}}{\frac{2}{4x-1} +3}\]

Answer 3

now don't I have to multiply top and bottom by (4x-1)?