If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).

(f + g)(x) = 5x + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/ Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 6

g(x) = 3x + 9

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

Step 2: Find

Substitute in function values:                                                                          (f + g)(x) = 2x - 6 + 3x + 9Combine like terms:                                                                                         (f + g)(x) = 5x + 3

sinx = cosy = 0.6

Step-by-step explanation:

OP² = 6² + 8²

OP² = 100

OP = 10

sinx = opposite/hypotenuse

= 6/10 = 0.6

cosy = adjacent/hypotenuse

= 6/10 = 0.6

sinx = cosy

Because x and y are complementary angles