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2 years ago

Given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))

Mathematics

1 answer:

kakasveta [241]2 years ago

7 0

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Functions
Function Notation
Composite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x + 7

g(x) = 3x - 1

Step 2: Find

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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Substituting the values we have,

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