UPSKILL MATH PLUS

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1. If \(f(x) = x^5\) and \(g(x) = x^4\) determine whether \(f\), \(g\) are one-to-one and \(f \circ g\) is one-to-one?
 
\(f\) is .
 
\(g\) is .
 
\(f \circ g\) is .
 
 
2. Let \(f = \{(-1, 3), (0, -1), (2, -9)\}\) be a linear function from \(\mathbb{Z}\) into \(\mathbb{Z}\). Find \(f(x)\).
 
\(f(x)\) \(=\)
 
 
3. The function \(f\) and \(g\) are defined by \(f(x) = 6x + 8\); \(g(x) =\) x23
 
(i) Determine the value of gg12.
ii
 
(ii) In the simplest form, write an expression for \(gf(x)\).