Answer:
5/12
Step-by-step explanation:
Function transformation involves changing the form of a function
The equation that represents the function f(x) is ![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
<h3>How to determine the equation</h3>
The parent cube root function is:
![y = \sqrt[3] {x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%7D)
When the function is translated 6 units left, the equation of the function becomes
![y = \sqrt[3] {x + 6}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D)
Next, the function is translated 1 unit up.
So, the equation of the function becomes
![y = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Express as a function
![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Hence, the equation that represents the function f(x) is ![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Read more about function transformation at:
brainly.com/question/1548871
Answer:
C. 3
Step-by-step explanation:
8 / 1/3
When dividing fractions, do CCF (Copy, Change, Flip)
You keep the first number: 8
Change the division sign to multiplication: X
Flip the fraction to make it its reciprocal: 3/1
New expression:
8 X 3/1 or 8 X 3
-------------------------------------------------------------------------------------------------------------
Answer: 
-------------------------------------------------------------------------------------------------------------
Given: 
Find: 
Solution: It looks like 2 is at the end of the parenthesis where the power would be instead of distributing the number. If so the following steps would be followed.
<u>Expand</u>
<u>Simplify</u>
Therefore, after following the provided information we are able to determine that the expanded form would be 9x^2 - 12x + 4.
The limit of the expression as x approaches -3 is -24
<h3>How to determine the limit of the expression?</h3>
The expression is given as:

As x approaches -3.
The limit expression becomes

Substitute -3 for x in the expression

Evaluate the expression

Hence, the limit of the expression as x approaches -3 is -24
Read more about limit expressions at:
brainly.com/question/16176002
#SPJ4