# Sin Límites 2

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**Precalculus10**

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Functions, Equations and Inequalities II

3.4: The Logic of Equation Solving

3.3: Inverses of Functions

Definition of Inverse Function:F and g are inverse functions, written f = g^-1 or g = f^-1 if and only if f°g(X) = x for all x in the domain of g and g°f(x) = x for all x in the domain of f.Definition of 1-1 Function:A function g is a 1-1 function if and only if for all u and v in the domain of g g(u) = g(v) => u = v1-1 Function Inverse Theorem:A function has an inverse that is a function if and only if it is a 1-1 function

Addition Property of Equality:For all x in the intersection of the domains of functions f, g and h,f(x) = g(x) <=> f(x) + h(x) = g(x) + h(x)Multiplication Property of Equality:For all x in the intersection of the domains of functions f, g and h, if h(x) ǂ 0, then

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