Finding the inverse of a function

The video tutorial explains how to find the inverse of a function, specifically f(x) = 3x - 4. It outlines a step-by-step process: writing the function as a linear equation, swapping x and y variables, solving for y, and finally writing the result in inverse notation. The tutorial emphasizes the importance of each step and provides guidance on graphing the inverse, although graphing is not required in this instance.

What is the first step in finding the inverse of a function?

• Swap the x and y variables

• Write the function as a linear equation

• Graph the function

• Solve for y

After writing the function as a linear equation, what is the next step in finding the inverse?

• Multiply by 3

• Graph the function

• Solve for x

• Swap the x and y variables

How do you isolate y in the equation x + 4 = 3y?

• Subtract 4 from both sides

• Multiply both sides by 3

• Divide both sides by 3

• Add 3 to both sides

What is the correct inverse notation for a function f(x)?

• f(x) = x + 4

• f^-1(x) = (x + 4) / 3

• f^-1(x) = y

• f(x) = y

Why might it be useful to rewrite the inverse function in the form y = 1/3x + 4/3?

• To make it easier to graph

• To simplify the equation

• To solve for x

• To eliminate fractions