E-CO03 · A simplified composite with a hole
Let \(\displaystyle f(x)= \frac{1}{x+ 1}\), \(x\ne-1\), and \(\displaystyle g(x)= \frac{2x- 1}{x+ 2}\), \(x\ne-2\).
Explain why \(fg\) is not defined on all of \(D_g\). Find the largest permitted restriction of \(D_g\).
On the domain from (a), simplify \(fg(x)\) and find its range.
Solve \(fg(x)=x\) on the permitted domain.
Complete-answer checking, worked solutions and indicative written criteria.
Open the complete answer form