Question

If f(x)= 11 when f(x) = 5x-17, find x.
(Type an exact answer, using radicals as needed.)

Answer 1

x = 28/5

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

Explanation:

Step 1: Define

f(x) = 5x - 17

f(x) = 11

Step 2: Solve for x

1. Substitute in f(x) [Function]: 11 = 5x - 17
2. [Addition Property of Equality] Add 17 on both sides: 28 = 5x
3. [Division Property of Equality] Divide 5 on both sides: 28/5 = x
4. Rewrite: x = 28/5