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
Volgvan
3 years ago
10

Given f(x) = 2x5 + 12, what is the value of (f-1 o f)(2)?

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:

2

Step-by-step explanation:

You are trying to find (f' o f)(2).  This means that you need to put f(x) into f'(x) and solve for 2.

First, find f'(x).  To do this, take the original function and switch the x and y values.

y = 2x⁵ + 12

x = 2y⁵ + 12

x - 12 = 2y⁵

(x - 12)/(2) = y⁵

y = ⁵√(x - 12)/(2)

Now, you need to put f(x) into the inverse function through the x-value.  Simplify completely.

y = ⁵√((2x⁵ + 12) - 12)/(2)

y = ⁵√((2x⁵)/(2)

y = ⁵√x⁵

y = x

Now plug in the value given to you.

(f⁻¹ o f)(2) = 2

The answer is 2.

You might be interested in
7 cos x+1=6 secx solve for x
jonny [76]
7cos(x) + 1 = 6sec(x)
7cos(x) + 1 = 6/cos(x)
7cos^(x) + cos(x) = 6
7cos^(x) + cos(x) - 6 = 0
[7cos(x) - 6][cos(x) + 1] = 0
cos(x) = 6/7 , x = arccos(6/7) and
cos(x) = -1, x = 180
6 0
2 years ago
This for composite figures
Vinil7 [7]

Answer:

  114 square meters

Step-by-step explanation:

The figure decomposes into two congruent trapezoids, each with bases 15 m and 4 m, and height 6 m. The area formula for a trapezoid is ...

  A = 1/2(b1 +b2)h

__

Each trapezoid will have an area of ...

  A = 1/2(15 +4)(6) = 57 . . . . square meters

The figure's area is twice that, so is ...

  figure area = 2 × 57 m² = 114 m²

7 0
2 years ago
Renee is playing a game online. If she gets a total of 25 points, she will have a new
Mashutka [201]

Answer:

20 points

Step-by-step explanation:

key words: difference

Take the amount of points she has and subtract what she has

25-5

4 0
3 years ago
What is the slope of the line that passes through the points (8,-4) and (6,2)
padilas [110]

Answer: M= slope

M= -3

Step-by-step explanation:

M= the change in y over the change in x so you do -4-2 over 8-6 which would give you -6 over 2 which is simplified to give you the answer which is -3

8 0
2 years ago
Rewrite the equation by completing the square.<br> x^2+ 12x + 36 = 0
svetoff [14.1K]

Answer:

(x+6)^2 =0

Step-by-step explanation:

x^2+ 12x + 36 = 0

Subtract 36 from each side

x^2+ 12x + 36-36 = 0-36

x^2 +12x = -36

Take the coefficient of x

12

Divide by 2

12/2 =6

Square it

6^2 =36

Add this to each side

x^2+ 12x + 36 = -36+36

(x+12/2)^2 = 0

(x+6)^2 =0

4 0
3 years ago
Read 2 more answers
Other questions:
  • Confused on "their sum is to the sum of their squares as 7 is to 50." Help me put this in a equation please
    9·2 answers
  • Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
    12·1 answer
  • Store - Cost to Store - Markup
    10·1 answer
  • What is 8172 divided by 9?
    15·2 answers
  • Select the word that means with their true identities kept secret and explain it
    9·1 answer
  • I am really confused with this question. Please help me.
    11·1 answer
  • Which of the following expressions can be used to find x? Solve for x. Round to the nearest hundredth. A tan 28 = x32 ; x=17.01∘
    10·1 answer
  • It was estimated that 825 people would attend the soccer game, but 817 people actually attended.
    12·1 answer
  • Madeline is saving up to buy a new jacket. She already has $40 and can save an
    13·1 answer
  • Clayton sells computers. He makes $220 per week plus $50 for each computer he sells. He must make at least $770 per week.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!