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3 years ago

If f(x) = 2x - 1 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3

Mathematics

1 answer:

kifflom [539]3 years ago

6 0

Answer:

f(g(-3)) = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation
Composite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 1

g(x) = 2x + 1

x = -3

Step 2: Evaluate

Substitute in x: f(g(-3))
Substitute in x [Function g(x)]: g(-3) = 2(-3) + 1
Multiply: g(-3) = -6 + 1
Add: g(-3) = -5
Rewrite: f(-5)
Substitute in x [Function f(x)]: f(-5) = 2(-5) - 1
Multiply: f(-5) = -10 - 1
Subtract: f(-5) = -11

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