Question

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

Answer 1

Answer:

The value of x is equal to 1, written as x = 1.

General Formulas and Concepts:
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:

Step 1: Define

g(x) = 5x + 4

g(x) = 9

Step 2: Solve for x

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 x that makes the function true would be x = 1.

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Topic: Algebra I