1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
german
3 years ago
14

Suppose f is a one-to-one function with f(2)=8 and f’(2)=4. What is the value of (f^-1)’(8)?

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

1/4

Step-by-step explanation:

The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.

The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...

(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4

You might be interested in
Which of the following statements is not always true? A. In a rhombus, both pairs of opposite sides are parallel. B. In a rhombu
Sunny_sXe [5.5K]
The correct answer is C. I just took a test and answered B but that is not the correct answer. it is actually C
8 0
3 years ago
What is the area of the sail?
marishachu [46]
Area = 30 meters ^2

Area of a triangle is found by multiplying both sides and then dividing that answer by 2.

So 6 times 10 is 60, and 60 divided by 2 is 30.
3 0
3 years ago
Read 2 more answers
The area of a triangular block is 16 squre inches. If the base of the triangle is twice the height, how long are the base and th
klemol [59]
The area of a triangle can be calculated using the formula 

1/2 (base) (height)

Let's substitute our known values, letting x represent the value of the height of the triangle.

16  = 1/2* x* 2x

Let's Simplify!

16 = x^2

Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.

x= positive OR negative 4.

However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.

The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches

6 0
3 years ago
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What
Salsk061 [2.6K]

I believe you answer would be D

8 0
4 years ago
Read 2 more answers
Answer 10,11,12,13,14
QveST [7]
10
13.50 per set
+.45 per day value
she got 20 sets
5 days after would be
13.50 ×20=270
value of 20 sets at 13.50 a set on day one was 270.00
.45×20=9.00
the 20 sets gain 9 dollars a day
9×5=45
9 dollars a day times 5 days is 45 dollars
45+270=315

11
4 0
3 years ago
Other questions:
  • Factor the trinomial below.
    8·1 answer
  • I have 5 apples and take away 2​
    5·2 answers
  • Please help me find n. 1/3=n+3/4
    6·1 answer
  • What solve I just now made this up so get it right? <br><br> 6(5x+7)56&lt;78x
    6·1 answer
  • It takes Franklin 14 hours to make a 200-square-foot cement
    6·1 answer
  • 40 tens equal how many hundreds
    12·2 answers
  • 6a3-5b2+2c2-3a2bc if a=5 b=2c=-1
    13·1 answer
  • Students in a class were asked to name their favorite type of soup. The results are shown in the circle graph. How many times mo
    6·1 answer
  • Having trouble i don't understand the problem
    5·1 answer
  • The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!