McGraw Hill Glencoe Algebra 1, 2012
MH
McGraw Hill Glencoe Algebra 1, 2012 View details
7. Inverse Linear Functions
Continue to next subchapter

Exercise 23 Page 268

Exchange x and y, then solve for y.

f^(- 1)(x)=-5x+15

Practice makes perfect
To find the inverse of the given equation, we exchange x and y and solve for y. Given Equation & Inverse Equation x+5 y=15 & y+5 x=15The result of isolating y in the new equation will be the inverse of the given function.
y+5x=15
y=- 5x+15
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)=- 5x+15