0604013
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HELP HELP PLEASE!!!
consider the function rule: f(x) = 9x -7
a. find f(4)
b. find f(-2)
c. show or explain how the equation 9x - 7 = 65 can be solved using an "undoing process". Report a solution to the equation.

Respuesta :

Answer:

f(4)=29

f(-2)=-25

x=8

Step-by-step explanation:

a. to find f(4), you need to substitute x with 4...

f(4)=9(4)-7

f(4)=36-7

f(4)=29

b. This is the same for f(-2)

f(-2)=9(-2)-7

f(-2)=-18-7

f(-2)=-25

c. 9x-7=65

      +7    +7 to cancel the 7 out and to isolate the x

9x=72

      divide both sides by 9

x=8

So basically f(8)=65

Space

Answer:

a. f(4) = 29

b. f(-2) = -25

c. x = 8

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

Algebra I

Equality Properties

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

Terms/Coefficients

Functions

  • Function Notation

Step-by-step explanation:

Part A + B

Step 1: Define

Identify.

f(x) = 9x - 7

Step 2: Find

f(4)

  1. Substitute in x [Function f(x)]:                                                                          f(4) = 9(4) - 7
  2. [Order of Operations] Evaluate:                                                                      f(4) = 29

f(-2)

  1. Substitute in x [Function f(x)]:                                                                          f(-2) = 9(-2) - 7
  2. [Order of Operations] Evaluate:                                                                      f(-2) = -25

Part C

Step 1: Define

Identify.

9x - 7 = 65

Step 2: Solve for x

  1. [Addition Property of Equality] Add 7 on both sides:                                     9x = 72
  2. [Division Property of Equality] Divide 9 on both sides:                                 x = 8

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