<h2>Writing the Inverse of a Function</h2><h3>
Answer:</h3>
![f^{-1}(x) = \sqrt[3]{\frac{x +5}{3}}\\](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%20%2B5%7D%7B3%7D%7D%5C%5C)
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my Answer from this Questions to know more about Inverse Functions: <u>brainly.com/question/24619467</u></em>
Let
so that the inverse of
is equal to
.
Solving for
:
![f(x) = 3x^3 -5 \\ y = 3x^3 -5 \\ x = 3y^3 -5 \\ 3y^3 -5 = x \\ 3y^3 = x +5 \\ y^3 = \frac{x +5}{3} \\ y = \sqrt[3]{\frac{x +5}{3}}](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x%5E3%20-5%20%5C%5C%20y%20%3D%203x%5E3%20-5%20%5C%5C%20x%20%3D%203y%5E3%20-5%20%5C%5C%203y%5E3%20-5%20%3D%20x%20%5C%5C%203y%5E3%20%3D%20x%20%2B5%20%5C%5C%20y%5E3%20%3D%20%5Cfrac%7Bx%20%2B5%7D%7B3%7D%20%5C%5C%20y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%20%2B5%7D%7B3%7D%7D)
Since the inverse of
is equal to
,
.
Answer:
Hi there, you can use Pitagoras relationship to solve this up (Without using any other "tool".
Point A is located wheter in (-6,8) or could be located in (-6,8)
Step-by-step explanation:
Point A is 10 units away from the origin, and its x coordinate is -6, using this information, you can draw a triangle from 0 to -6 (the basis) and using 10 as the hypotenuse, so, you have this equation:

solving for Y variable, you have this
y=±
Note the combined sing ±, meaning that y=8 is a valid answer and that y= -8 is also a valid answer.
Hope It helps
Answer:
4
Step-by-step explanation:
There are 2 domains to consider
- 6 < x ≤ 0
Since the symbol on the left is less than - 6 then - 6 and - 7 are not included
The symbol on the right is less than or equal to 0 , thus no values
0 < x ≤ 4
Means values between 0 and 4, including 4
Thus the value on the domain of f(x) is 4
The second answer, -9/4 + (-2/3)
Step-by-step explanation:
(5.6) × 1/8

Here the unit fraction is 1/8
multiply 5.6 times 1
so its 5.6. then divide the decimal by 8
we know that 8 times 7 is 56
so 56 divide by 8 is 7
we have decimal point 1 number to the left
so we move decimal point 2 place left
Hence 5.6 divide by 8 is 0.7

Answer: 0.7