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The 31 pages that link to Inverse function, each with the reason it gives.

• Exponential functionRelated: The logarithm is the inverse of an exponential function with a valid base.

• FunctionRelated: It swaps inputs and outputs when each output identifies one original input.

• LogarithmRelated: On suitable domains, the logarithmic function reverses the exponential function.

• PermutationRelated: Every permutation has an inverse that undoes its rearrangement.

• Domain of a functionRelated: Restricting a domain can make a function one-to-one and allow an inverse.

• BijectionRelated: A bijection has an inverse defined on its entire codomain.

• Function compositionCompared with: Composition with an inverse can recover the original input.

• Square rootRelated: Squaring is not one-to-one over all real numbers, so a restricted domain is needed for inversion.

• HomeomorphismRelated: The inverse must also be continuous; continuity in only one direction is insufficient.

• Injective functionRelated: An injective function has an inverse defined on its image.

• Complex logarithmNarrower topic: The exponential is not one-to-one on the complex plane, so its inverse is multivalued.

• IsomorphismRelated: The inverse must preserve structure too, not merely exist as a set-theoretic function.

• Surjective functionRelated: A surjective function need not have an inverse unless it is also injective.

• Image (mathematics)Compared with: An inverse function can exist on the image when the original function is injective.

• Partial functionRelated: A partial function’s inverse can be defined on its image even when the original domain is restricted.

• Monotonic functionRelated: A continuous strictly monotonic function on an interval has an inverse on its image.

• Inverse trigonometric functionsNarrower topic: Inverse trigonometric functions reverse sine, cosine, or tangent after domain restrictions.

• Graph of a functionRelated: Its graph reflects the original across the line y = x when the inverse exists.

• Inverse elementRelated: Function composition forms an operation whose identity is the identity function.

• ReciprocalCompared with: A reciprocal is a number's multiplicative inverse, not generally an inverse function.

• Common logarithmRelated: The common logarithm is the inverse of the base-10 exponential function.

• Gamma correctionRelated: Decoding ideally applies the inverse of the encoding curve to recover linear values.

• Logistic functionRelated: The inverse of the standard logistic function is the logit.

• Binary logarithmRelated: The base-2 logarithm reverses the exponential function with base 2.

• Left inverseNarrower topic: A two-sided inverse combines the left-inverse equation with the right-inverse equation.

• Integration by substitutionRelated: Some definite-integral substitutions require solving for the original variable to transform the bounds.

• Lambert W functionNarrower topic: Lambert W extends ordinary inversion to a map that is not globally one-to-one.

• Nth rootRelated: Even-power functions are not one-to-one over all real numbers, so a root convention is needed to define an inverse.

• Range of a functionRelated: Solving for inputs in terms of outputs can reveal which output values are attainable.

• Inverse hyperbolic functionsNarrower topic: Domain restrictions make the hyperbolic functions one-to-one before inversion.

• Function of a real variableRelated: An inverse recovers an input when the original function is one-to-one.