Answer:
When we have a function f(x), the values of x at which the function is not differentiable are:
1) values at which the function is not "soft". So if we have a really abrupt change in the curvature of the function, we can not differentiate in that value of x, because in those abrupt changes there are a lot of tangent lines to them.
One example of this is the peak we can see at x = -4
Then we can not differentiate the function at x = -4
2) When we have a discontinuity.
If we have a discontinuity at x = x0, then we will have two possible tangents at x = x0, this means taht we can not differentiate at x = x0, and remember that a discontinuity at x = x0 means that:
f(x0₊) ≠ f(x0₋)
where x0₊ is a value that approaches x0 from above, and x0₋ is a value that approaches x0 from below.
With this in mind, we can see in the graph a discontinuity at x = 0, so we can not differentiate the function at x = 0.
Answer:
f(x)⁻¹ = x³ + 2
Step-by-step explanation:
Find the inverse of f(x) = ∛(x - 2).
The first step is to let f(x) = y
y = ∛(x - 2)
Then make x the subject of the formula
y³ = [∛(x - 2)]³
y³ = x - 2
x = y³ + 2
∴ f(x)⁻¹ = y³ + 2
Replacing y with x we have.
f(x)⁻¹ = x³ + 2
Answer: 
Step-by-step explanation:
Given : A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard.
i.e. n= 700 and x= 112
Sample proportion : 
z-value for 95% confidence interval : 
Now, the 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard will be :-
Hence, 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard :
Answer:
70°
Step-by-step explanation:
90 + 20 + x = 180
110 + x = 180
x = 180 - 110
x = 70°
The question is asking to calculate the fee and the hourly rate of Iris base on the data in the problem, i my own calculation and analysis, I would say that the fee of Iris is $50, and her hourly rate would be $60, I hope you are satisfied with my answer and feel free to ask for more
