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Understanding the Concept of Inverse Functions

March 8, 2015 GB Audio, Video and Animation, High School Algebra

Let us consider the functions

$f(x) = x^3$ and $g(x) = \sqrt[3]{x}$ .

The table on the left shows the ordered pairs $(x,f(x))$ . We used $f(x)$ and substitute them to $x$ in the second table.

inverse functions

As we can see, all the values of $g(x)$ are the same as those of $x$ in the first table. For example, if we have $x = 3$ in the first table, applying $f$ , we get 27 as output. On the other hand, if we apply $g$ to 27, the value returns to $3$ . » Read more

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