Write the inverse of the given relation.

y=10x

1 answer

To find the inverse of the relation \( y = 10x \), we need to express \( x \) in terms of \( y \).

Starting with the equation:

\[ y = 10x \]

We can solve for \( x \) by performing the following steps:

  1. Divide both sides by 10:

\[ x = \frac{y}{10} \]

Now, to express this as the inverse relation, we replace \( x \) with \( y \) and \( y \) with \( x \):

\[ y = \frac{x}{10} \]

Thus, the inverse of the relation \( y = 10x \) is:

\[ y = \frac{x}{10} \]