Question

If f(x) = 3x - 2 and g(x) = x2 +1, find (f +9)(x).
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Answer 1

D. x² + 3x + 1

Explanation:

Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1

Find :- ( f + g ) ( x )

Solution :-

• plug 3x + 2 ɑs f ɑnd x² + 1 ɑs g in the functions.

( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))

• remove unnecessɑry pɑrɑntheses

( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )

• combine like terms

( f + g ) ( x ) = ( x² + 3x - 1 )

Answer 2

A. x² + 3x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Terms/Coefficients
• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

f(x) = 3x - 2

g(x) = x² + 1

(f + g)(x) is f(x) + g(x)

Step 2: Find

1. Substitute in functions: (f + g)(x) = 3x - 2 + x² + 1
2. Combine like terms: (f + g)(x) = x² + 3x - 1