Final: The Inverse

Part of the Functions & Transformations section of Coddy's Algebra 2 journey. Lesson 55 of 58.

This problem asks for the inverse of f(x) = (3x + 2)/4, a rule that ends with a division. The board already holds the equation with x and y swapped. Solve it for y, and write the answer multiplied out.

Challenge

Find the inverse of f(x) = (3x + 2)/4. The board holds the swapped equation x = (3y + 2)/4: solve it for y and write the answer multiplied out.

Try it yourself

x = (3y + 2)/4

Solve for y

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Functions & Transformations

1Functions, Revisited

Meet f(x)Inputs and Outputs One Output Each Negative Inputs Recap: Evaluating

4Combining Functions

Adding Functions Subtracting Functions Multiplying Functions At a Single Number Recap: Combining

7Shifting Graphs

Up and Down Left and Right The Sign Inside Both at Once Shifting a V Recap: Shifts

10Functions in Stories

Writing the Rule Using the Rule Working Backward Undoing a Conversion Recap: Stories

2Expressions as Inputs

A Letter as Input A Sum as Input Shifting the Input Solving f(x) = k Recap: Inputs as Expressions

5Composition

One Inside Another Order Matters A Function of Itself Composing Rules Breaking Apart Recap: Composition

8Stretching and Flipping

Taller and Flatter Flipping Over Flip, Then Shift Reading the Rule Recap: Stretch and Flip

11Final Challenges

Final: Inside and OutFinal: The InverseFinal: Move the V Final: Where f Lives Final: The Rental

3Domain and Range

What the Domain Is No Dividing by Zero No Roots of Negatives The Range Recap: Domain

6Inverse Functions

Undoing a Function Swap and Solve Fractions in Inverses Checking an Inverse A Value of the Inverse Recap: Inverses

9Rate of Change

Average Rate of Change A Line Keeps Its Rate A Curve Changes Rate Velocity as a Rate Recap: Rate of Change