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inysia [295]
2 years ago
13

Given g(x)=5x+4, solve for x when g(x)=9

Mathematics
1 answer:
Alex2 years ago
8 0

Answer:

The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.

General Formulas and Concepts:
<u>Algebra I</u>

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:

<u>Step 1: Define</u>

g(x) = 5x + 4

g(x) = 9

<u>Step 2: Solve for </u><u><em>x</em></u>

  1. Substitute in function value:                                                                           9 = 5x + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                       5 = 5x
  3. [Division Property of Equality] Divide 5 on both sides:                                1 = x
  4. Rewrite:                                                                                                            x = 1

∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.

---

Topic: Algebra I

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