The derivative, f'(x) = 6x^2+1, is never negative, so f(x) is monotonic, hence invertible.
f'(-2) = 6(-2)²+1 = 25
If point (-2, -26) is on the graph of function f(x), and the slope is 25 there, then (-26, -2) is on the graph of f⁻¹(x), and the slope is 1/25 there. The equation of the tangent line throught that point can be written in point-slope form as
... y +2 = (1/25)(x +26)
Answer:
g(x) = (1/4x)^2
Step-by-step explanation:
Given f(x), we want to get g(x)
As we can see, the point (4,1) lies on the graph of g(x)
So the correct option will be the one where g(4) = 1
Let us take a look at the second option
g(x) = (1/4x)^2
Here,
g(4) = (1/4 * 4)^1 = 1^1 = 1
Answer: Option 'B' is correct.
Step-by-step explanation:
Number of pounds of candy = 30
Cost per pound = $1.10
Total amount would be

Let the number of pound that sold at $1.50 per pound be 'x'.
Let the number of pound that sold at 90 cents per pound be '30-x.
According to question, we get that

Hence, there are 10 pounds of chocolates worth $1.50 per pound.
Therefore, Option 'B' is correct.
It is a lot like an equation but instead of and equal sign you put < > ≤ or ≥
For example
X>5 says x is greater than five. Meaning this is only true when x is any number larger than 5 like 7 but not 2.
Let me know if you need more help
I think the answer could be C