Answer:
f(g(-2)) = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 4 - x²
g(x) = 2x + 5
<u>Step 2: Find g(-2)</u>
- Substitute in <em>x</em> [Function g(x)]: g(-2) = 2(-2) + 5
- Multiply: g(-2) = -4 + 5
- Add: g(-2) = 1
<u>Step 3: Find f(g(-2))</u>
- Substitute in <em>x</em> [Function f(x)]: f(g(-2)) = 4 - (1)²
- Evaluate exponents: f(g(-2)) = 4 - 1
- Subtract: f(g(-2)) = 3
Answer:
3rd quadrant
Step-by-step explanation:
Given:
Point (-2, -9)
Computation:
In 1st quadrant (+ , +)
In 2nd quadrant (- , +)
In 3rd quadrant (- , -)
In 4th quadrant (+ , -)
So given point (-2, -9) is in 3rd quadrant.
Combine the -7b and 4b with Like terms to simplify
Answer:
Slope=− 1.083/1.083 =−0.542
x−intercept= 144/13 =11.07692
y−intercept= 144/24 =6.
Step-by-step explanation:
