Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
Answer:
f(x) + 3g(x) = 14x + 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x
g(x) = 4x + 5
<u>Step 2: Find</u>
- Substitute in functions: 2x + 3(4x + 5)
- [Distributive Property] Distribute 3: 2x + 12x + 15
- Combine like terms: 14x + 15
Answer:
Step-by-step explanation:I don't say you must have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
