Respuesta :

Space

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Function notation

Step-by-step 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.