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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

7. Inverse Linear Functions

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Exercise 27 Page 268

Exchange x and y, then solve for y.

f^(- 1)(x)=3x-3

Practice makes perfect

To find the inverse of the given equation, we exchange x and y, then solve for y. Given Equation & Inverse Equation 3 y- x=3 & 3 x- y=3The result of isolating y in the new equation will be the inverse of the given function.

3x-y=3

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Solve for y

LHS-3x=RHS-3x

- y=- 3x+3

LHS * (- 1)=RHS* (- 1)

y=3x-3

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)=3x-3

Subchapter links

Check Your Understanding p.267

Practice and Problem Solving p.267-269

H.O.T. Problems p.269

Standardized Test Practice p.270

Spiral Review p.270

Skills Review p.270