Question

$$(f\circ q)(x)=(2x-1)+2$$

Answer

f=(2*x+1)/(q*x)

Solution


Remove parentheses.
\[fqx=2x-1+2\]
Simplify  \(2x-1+2\)  to  \(2x+1\).
\[fqx=2x+1\]
Divide both sides by \(q\).
\[fx=\frac{2x+1}{q}\]
Divide both sides by \(x\).
\[f=\frac{\frac{2x+1}{q}}{x}\]
Simplify  \(\frac{\frac{2x+1}{q}}{x}\)  to  \(\frac{2x+1}{qx}\).
\[f=\frac{2x+1}{qx}\]