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
Artist 52 [7]
3 years ago
14

If f(x)= 2x + 5, which of these is the inverse of f(x)

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0

Answer:

D.  f^{-1}(x)=\frac{x-5}{2}

Step-by-step explanation:

The given function is

f(x)=2x+5

Let y=2x+5

Interchange  x and y.

x=2y+5

Solve for y.

x-5=2y

Divide both sides by 2

\frac{x-5}{2} =y

Hence f^{-1}(x)=\frac{x-5}{2}

nevsk [136]3 years ago
6 0

Answer: OPTION D

Step-by-step explanation:

To find the inverse of the function given in the problem, you must apply the proccedure shown below:

1- Rewrite the function:

y=2x+5

2- You must solve for <em>x</em> from the functionn, as following:

  • Subtract 5 from both sides of the function.
  • Divide both sides of the function by 2.
  • Then:

y-5=2x\\\\x=\frac{y-5}{2}

  • Rewrite the function as following (Substitute x=f^{-1}(x) and y=x:

f^{-1}(x)=\frac{x-5}{2}

You might be interested in
All of the edges of a regular triangular pyramid have length 12. A frustum of the pyramid has height half of that of the pyramid
vlada-n [284]

Answer:

1) The volume of the frustum is 27·(√3)·h

2) The surface area the frustum is 24·h + 54·√3

Step-by-step explanation:

1) A frustum of the regular triangular prism is a portion of the triangular prism

The length of the edge of the triangle prism = 12

The area of the triangular face, A = (√3/4)·a²

∴ A = (√3/4)·12² = 36·√3

When

The volume of the triangular prism, V = A·h = (36·√3)·h

By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism =  (√3/4)·6² = 9·(√3)

The volume of the top half, V₂ = 9·(√3)·h

The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h

The volume of the frustum = 27·(√3)·h

2) The surface area of the triangular side of the frustum is given as follows;

A = 36·√3- 9·(√3) = 27·(√3)

The surface area the frustum, F_A = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3

The surface area the frustum = 24·h + 54·√3

4 0
3 years ago
Khan academy question
andriy [413]

Answer:

(2,5)

Step-by-step explanation:

There you go.........

4 0
3 years ago
Read 2 more answers
A rectangular building with a square base is being designed to minimize heat loss. The building designers state that the volume
Arturiano [62]

Answer:

y = 4000/x²

Step-by-step explanation:

The volume of the building is expressed as;

V = x²y where;

x is the length and width of the base.

y is the height of the building

Given

Volume V = 4000m³

Substitute the given volume into the equation as shown;

4000 = x²y

Make y the subject of the formula by dividing both sides by x²

4000/x² = x²y/x²

4000/x² = y

Rearrange

y = 4000/x²

Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²

8 0
2 years ago
Complete the steps to solve for x 5/8x-1/3x=7
Blababa [14]
X=24 ........................
4 0
3 years ago
Find sin A in triangle ABC
arsen [322]
Sin (A) = BC/AB = 21/75= 7/25
4 0
3 years ago
Other questions:
  • Determine whether the graph of the quadratic function y = –x^2 – 10x + 1 opens upward or downward. Explain.
    11·1 answer
  • Assume that you have two dice, one of which is fair, and the other is biased toward landing on six, so that 0.25 of the time it
    7·1 answer
  • A car is traveling at a rate of 40 miles per hour. What is the car's rate in kilometers per hour? How many kilometers will the c
    10·1 answer
  • I need help I’ve been stuck on the question
    13·2 answers
  • What are 3 numbers between 0.33 and 0.34
    7·2 answers
  • The mean height of a sample of 15-year-old boys is 175 centimeters, with a standard deviation of 10. For a sample of 15-year-old
    13·1 answer
  • Describe how oral traditions, proverbs, and music are key features of Africa's cultural legacy.
    15·1 answer
  • If T is the centroid of ∡MNP, TN = 16, MQ = 23, and RP = 18, find each missing measure.
    15·1 answer
  • X is a discrete random variable. The table below defines a probability distribution for X.
    6·1 answer
  • You find 13,406,190 pennies which is $134,061.90 and weighs 118,222.45 lbs. Now assume a movie ticket costs $9.00, how many movi
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!