UPSKILL MATH PLUS

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1. Find \(f \circ g\) and \(g \circ f\) when \(f(x) = 2x + 1\) and \(g(x) = x^2 - 2\).
 
\(f \circ g\) \(=\)
 
\(g \circ f\) \(=\)
 
 
2. Represent the function \(f(x) = \sqrt{2x^2 - 5x + 3}\) as the product of two functions.
 
 
 
3. If \(f(x) = 3x - 2\), \(g(x) = 2x + k\) and \(f \circ g = g \circ f\), then find the value of \(k\).
 
The value of \(k\) \(=\)
 
 
4. Find \(k\) if \(f \circ f(k) = 5\) where \(f(k) = 2k - 1\).
 
The value of \(k\) \(=\)