Question

Find the inverse of the function y= 2x

Answer 1

`y=(1)/(2)x`

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=(x)/(2),\\\boxed{y=(1)/(2)x}`

Answer 2

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

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