The AWNSER to the question is .3
Answer:
(f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)
Step-by-step explanation:
The function f⁻¹(x) is the reflection of the function f(x) across the line y=x. Every point (a, b) that is on the graph of f(x) is reflected to be a point (b, a) on the graph of f⁻¹(x).
Any line with slope m reflected across the line y=x will have slope 1/m. (x and y are interchanged, so m=∆y/∆x becomes ∆x/∆y=1/m) Since f'(x) is the slope of the tangent line at (x, f(x)), 1/f'(x) will be the slope of the tangent line at (f(x), x).
Replacing x with f⁻¹(x) in the above relation, you get ...
... (f⁻¹)'(x) = 1/f'(f⁻¹(x)) will be the slope at (x, f⁻¹(x))
Putting your given values in this relation, you get
... (f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)
Answer:
9a+12
Step-by-step explanation:
The perimeter is the sum of the side lengths, so is ...
6a + a + 4 + 8 + 2a
= a(6 +1 +2) + (4 +8)
= 9a +12
Answer:
I believe the ans is (A) 8i
Hi there!
6x² - x - 2
To solve, we must factor into the following format:
(ax - b)(cx - d)
The following conditions must be met:
a · c = 6
da + bd = -1
b · d = -2
By guessing and checking, we get:
(3x - 2)(2x + 1)