UPSKILL MATH PLUS
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Learn more1. If \(f(x) = 2x - 1\), \(g(x) =\) , show that \(f \circ g = g \circ f = x\).
2. Consider the function \(f(x)\), \(g(x)\), \(h(x)\) as given below. Show that \((f \circ g) \circ h = f \circ (g \circ h)\) in each case.
(i) \(f(x) = x - 1\), \(g(x) = 3x + 1\) and \(h(x) = x^2\)
(ii) \(f(x) = x^2\), \(g(x) = 2x\) and \(h(x) = x + 4\)
(iii) \(f(x) = x - 4\), \(g(x) = x^2\) and \(h(x) = 3x - 5\)
Important!
This is a self-assessment task. Solve this question and assess the solution steps after the completion of the test on your own.
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