Question

Find the inverse of the function y= 2x

Answer 1

Answer:

y = x/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right  

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality  

Algebra I

• Functions
• Function Notation
• Inverse Functions

Step-by-step explanation:

Step 1: Define

Identify

y = 2x

Step 2: Solve

1. Swap:                                                                                                                x = 2y
2. [Division Property of Equality] Divide 2 on both sides:                                 x/2 = y
3. Rewrite:                                                                                                             y = x/2

Answer 2

Answer:

$y=\frac{1}{2}x$

Step-by-step explanation:

To find the inverse of a function, switch the x and y values and isolate y. After switching the x and y values of $y=2x$, we get $x=2y$.

Now divide by 2 to isolate y:

$y=\frac{x}{2},\\\boxed{y=\frac{1}{2}x}$