Question

HELP!

h(t)=t^2+2t
g(t)=-t-5
Find ( h+g )(-8)

Answer 1

(h + g)(8) = 67

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

Distributive Property

Algebra I

• Combining Like Terms
• Function Notation

Explanation:

Step 1: Define

h(t) = t² + 2t

g(t) = -t - 5

Step 2: Find (h + g)(x)

1. Substitute: (h + g)(x) = t² + 2t - t - 5
2. Combine like terms: (h + g)(x) = t² + t - 5

Step 3: Find (h + g)(8)

1. Substitute in x: (h + g)(8) = 8² + 8 - 5
2. Exponents: (h + g)(8) = 64 + 8 - 5
3. Add: (h + g)(8) = 72 - 5
4. Subtract: (h + g)(8) = 67