What context can I use each word in?
Learn when and how to use these words with these examples!
invertible
Example
The function f(x) = 2x is invertible because it has an inverse function f^-1(x) = x/2. [invertible: adjective]
Example
A square matrix is invertible if and only if its determinant is not zero. [invertible: adjective]
Example
Adding and subtracting are invertible operations because they can be undone by performing the opposite operation. [invertible: adjective]
reciprocal
Example
The reciprocal of 2 is 1/2 because 2 x 1/2 = 1. [reciprocal: noun]
Example
The speed and time of travel have a reciprocal relationship because speed is distance divided by time, while time is distance divided by speed. [reciprocal: adjective]
Example
The reciprocal of 3/4 is 4/3 because the numerator and denominator are switched. [reciprocal: noun]
Good things to know
Which word is more common?
Reciprocal is more commonly used than invertible in everyday language, especially in basic arithmetic and algebra. Invertible is a more specialized term that is used in advanced math fields.
Whatโs the difference in the tone of formality between invertible and reciprocal?
Invertible is a more formal term that is used in technical and academic contexts, while reciprocal is more versatile and can be used in both formal and informal contexts.
