Find the inverse $$ R=\{(x \cdot y)=y=4 x+2\} $$

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The inverse of the relation $$ R $$ is $$ R^{-1}=\{(x \cdot y)=y=\frac{x - 2}{4}\} $$. To find the inverse of the relation $$ R=\{(x \cdot y)=y=4x+2\} $$, we need to switch the roles of $$ x $$ and $$ y $$ and then solve for the new $$ y $$. Given relation: $$ R=\{(x \cdot y)=y=4x+2\} $$ 1. Switch $$ x $$ and $$ y $$: $$ x = 4y + 2 $$ 2. Solve for $$ y $$: $$ x = 4y + 2 $$ $$ 4y = x - 2 $$ $$ y = \frac{x - 2}{4} $$ Therefore, the inverse of the relation $$ R $$ is $$ R^{-1}=\{(x \cdot y)=y=\frac{x - 2}{4}\} $$.

Find the inverse \( R=\{(x \cdot y)=y=4 x+2\} \)

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Find the inverse \( R=\{(x \cdot y)=y=4 x+2\} \)

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