18. Five marks exercise problems III

If \(f: \mathbb{R} \rightarrow \mathbb{R}\) and \(g: \mathbb{R} \rightarrow \mathbb{R}\) are defined by \(f(x) = x^5\) and \(g(x) = x^4\) determine whether \(f\), \(g\) are one-to-one and \(f \circ g\) is one-to-one?

 

\(f\) is one-to-onenot one-to-one.

 

\(g\) is one-to-onenot one-to-one.

 

\(f \circ g\) is one-to-onenot one-to-one.