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
Alex17521 [72]
3 years ago
9

Let f be a differentiable function such that f(3)=15, f(6)=3, f ' (3)= -8, and f ' (6)= -2. The function g is differentiable and

g(x)= f inverse (x) for all x. What is the value of g '(3)
A: -1/2B: -1/8C: 1/6D: 1/3E: Value cannot be determined
Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer:

A. g'(3)=-\frac{1}{2}

Step-by-step explanation:

We have been given that f be a differentiable function such thatf(3)=15, f(6)=3, f'(3)= -8, and f'(6)= -2. The function g is differentiable and g(x)= f^{-1} (x) for all x.

We know that when one function is inverse of other function, so:

g(f(x))=x

Upon taking derivative of both sides of our equation, we will get:

g'(f(x))*f'(x) =1

g'(f(x))=\frac{1}{f'(x)}

Plugging x=6 into our equation, we will get:

g'(f(6))=\frac{1}{f'(6)}

Since g(x)= f^{-1} (x), then g'(f(6))=g'(3).

g'(3)=\frac{1}{f'(6)}

Since we have been given that f'(6)= -2, so we will get:

g'(3)=\frac{1}{-2}

g'(3)=-\frac{1}{2}

Therefore, g'(3)=-\frac{1}{2} and option A is the correct choice.

You might be interested in
Good evening Kia koi girl mare sister'bana gi plz​
JulsSmile [24]

Answer:

hi

........... ............

7 0
2 years ago
Read 2 more answers
The variable used to predict changes in the values of another value is called the response variable.
Sholpan [36]
I think the statement given above is false. The variable used to predict changes in the values of another value is not called the response variable. The variable used to predict another variable is called the independent, <span>predictor or </span><span>explanatory variable. Hope this answers the question.</span>
7 0
3 years ago
The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the
Mandarinka [93]

Answer:

875 cm^3

Step-by-step explanation:

Here, we want to calculate the volume of the pyramid.

To do this, we need to calculate the area of the base and then multiply this by the height of the pyramid in question

Mathematically since the base is a square, formula for the base area would be ;

L^2 = 5^2 = 125 cm ^2

Now

using the height to get the volume , we have 125 * 7 = 875 cm^3

8 0
2 years ago
Read 2 more answers
Gus is making 48 oz of spiced cider. If he serves an equal amount to 7 people will each person get more than 1 cup of cider or l
Elena-2011 [213]
Less than 1 cup because 48 divided by 7 equals 6.85
5 0
3 years ago
Can someone help me?​
Tju [1.3M]

Answer:

B

Step-by-step explanation:

in table B if x = 1     y cannot equal both 1 and -1

    no function can have x equal to two or more unique y's

   

7 0
2 years ago
Other questions:
  • Mr. Baker sells boxes of votive candles to stores. He also has a customer who places a fixed order for designer candles every mo
    10·1 answer
  • What is the value for x
    14·2 answers
  • SOMEONE PLEASE HELP!!! [ 20 POINTS] SERIOUS ANSWERS ONLY!!!!
    5·2 answers
  • Is 39/49 in simplest form
    6·1 answer
  • Find the number that makes the ratio equivalent 1:5 9:
    9·1 answer
  • Which variable expression represents the word phrase?
    8·1 answer
  • Four friends shared 1/2 of one carton of orange juice and 1/4 of another carton of apple juice. What fraction of each carton of
    8·1 answer
  • Find the value of the expression if x=9 and y=1 Xy^2/-5
    13·1 answer
  • Healthy Grains is an organic food company that makes several different kinds of trail mix. The company's Sweet and Salty trail m
    8·1 answer
  • $75 before tax. Disc: 10% Tax: 7%, Tip: 20% what’s the total?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!