UPSKILL MATH PLUS
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Learn more1. In electrical circuit theory, a circuit \(C(t)\) is called a linear circuit if it satisfies the superposition principle given by \(C(at_1 + bt_2) = aC(t_1) + bC(t_2)\), where \(a\), \(b\) are constants. Show that the circuit \(C(t) = 3t\) is linear.
2. If \(f(x) = x^2\), \(g(x) = 3x\) and \(h(x) = x - 2\). Prove that \((f \circ g) \circ h = f \circ (g \circ h)\).
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