Question

Find the value of x so that the function has the value 2.
f (x) = -3x + 17
X=

Answer 1

x = 5

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Function notation

Explanation:

Step 1: Define

f(x) = -3x + 17

f(x) = 2

Step 2: Solve for x

1. Substitute: 2 = -3x + 17
2. Isolate x term: -15 = -3x
3. Isolate x: 5 = x
4. Rewrite: x = 5

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute: f(2) = -3(5) + 17
2. Multiply: f(2) = -15 + 17
3. Add: f(2) = 2

Here we see that f(2) does equal 2.

∴ x = 5 is the solution.