Answer:
1/9
Step-by-step explanation:
27x+3 = 6
-3 -3
27x = 3
/27 /27
× = 3/27 = 1/9
Square root is not defined to for negative values. For negative values, the answer of square root is a complex number which is not in Real Domain.
So any such values, for which the expression is not defined are not in the Domian. So the domian of square root of x will be All real numbers greater than or equal to 0.
This can be expressed as:
[0 , ∞)
or
x ≥ 0
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Terms/Coefficients
- Expand by FOIL
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em />
<em />
<em />
<u>Step 2: Differentiate</u>
- Product Rule:
 + (x^3 + 7x - 1)\frac{d}{dx}[(5x + 2)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%28x%5E3%20%2B%207x%20-%201%29%5D%285x%20%2B%202%29%20%2B%20%28x%5E3%20%2B%207x%20-%201%29%5Cfrac%7Bd%7D%7Bdx%7D%5B%285x%20%2B%202%29%5D)
- Basic Power Rule [Derivative Property - Addition/Subtraction]:

- Simplify:

- Expand:

- [Distributive Property] Distribute 5:

- Combine like terms:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
6
Step-by-step explanation:
quarter and 1
quarter and 2
quarter and 3
quarter and 4
quarter and 5
quarter and 6
Answer:
4.
Step-by-step explanation:
f^-1(x) is the inverse of f(x). That means that f(x) = 2x - 6 becomes...
x = 2y - 6
2y - 6 = x
2y = x + 6
y = 1/2x + 3.
When x = 2...
y = 1/2(2) + 3
= 1 + 3
= 4.
Hope this helps!