Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
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Answer:
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Step-by-step explanation:
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The equation 7x + 3x - 18 = 6(x+3) is 9
<h3>What is equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
given:
7x + 3x - 18 = 6(x+3)
7x + 3x - 18 = 6x+18 [Distributive Property]
10x-18= 6x+18 [Addition Property of Equality]
10x-6x= 18+18 [Combine Like Terms ]
4x=36 [Subtraction Property of Equality]
4*x=36 [Multiplication Property of Equality]
x=36/4 [Division Property of Equality]
x=9
Learn more about equation here:
brainly.com/question/10413253
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