Exercise 26 Page 268

To find the inverse of the given equation, we exchange x and y, then solve for y. Given Equation & Inverse Equation - 7 y+2 x=- 28 & - 7 x+2 y=- 28The result of isolating y in the new equation will be the inverse of the given function.

- 7x+2y=- 28

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Solve for y

AddEqn

LHS+7x=RHS+7x

2y=7x-28

DivEqn

.LHS /2.=.RHS /2.

y=7x-28/2

WriteDiffFrac

Write as a difference of fractions

y=7x/2-28/2

MovePartNumRight

a* b/c=a/c* b

y=7/2x-28/2

CalcQuot

Calculate quotient

y=7/2x-14

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)=7/2x-14