Question

Find f(g(x)). What does your answer mean?
g(x)=1/2(x)- (1/3)
f(x)= (6x+2)/3

Answer 1

\[f(x)= \frac{(6x+2)}{3}\]
\[g(x)=\frac12x-\frac13\]

\[f(g(x))=f\circ g(x)=\frac{\left(6\left(\frac12x-\frac13\right)+2\right)}{3}\]
\[=\frac{3x-2+2}{3}\]\[=\cdots\]