Exercise 24 Page 268

To find the inverse of the given equation, we exchange x and y and solve for y. Given Equation & Inverse Equation - 42+6 y= x & - 42+6 x= yThe result of isolating y in the new equation will be the inverse of the given function. In this case, we only have to rearrange the equation and the terms.

- 42+6x=y

RearrangeEqn

Rearrange equation

y=- 42+6x

CommutativePropAdd

Commutative Property of Addition

y=6x-42

Finally, we write the inverse of the given equation in function notation by replacing y with f^(- 1)(x) in our new equation. f^(- 1)(x)=6x-42