MATHEMATICS HIGH SCHOOL

Which function has an inverse that is a function? b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|

Answers

Answer 1
Answer:

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with f^(-1)(x). In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of f^(-1) and the range of f is the domain of f^(-1).

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. m^(-1)(x)=-(x)/(7).

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of m^(-1)(x).

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.
Answer 2
Answer: Hello,

Answer C

y=-7x ==>x=-7y==>y=-x/7 is the inverse of m(x)
======================

Related Questions

What 3different ways to make 115 using hundreds, tens, and ones blocks?
Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.please and thank you
Write an equation of the line below.
Identify all of the square roots of perfect squares in the list below. Select all that apply. A) √25 B) √36 C) √50 D) √144 E) √200 F) √362
In a relay race, the probability of the Galaxy team winning is 22%. In another unrelated relay race, the probability of the Komets team winning is 47%. If the possibility of a tie is not an option, the probability of the Komets losing their race and the Galaxy winning theirs is ?%

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.x+3y=9
3x-y=7

Answers

\left \{ {{x+3y=9~(3)} \atop {3x-y=7(-1)}} \right. \n \n \left \{ {{3x+9y=27} \atop {-3x+y=-7}} \right. \n \n10y=20\n \ny= (20)/(10) \ny=2

x+3y=9\nx=9-3y\nx=9-3.2\nx=3

S=\{3,2\}

One solution.
x+3y=9\n 3x-y=7\ / \cdot 3\n \n x+3y=9\n 9x-3y=21\n \n 10x=30\ /:10\n x=3\n \n x+3y=9\n 3+3y=9\n 3y=6\n y=2\n one\ solution - (3;2)

Which of the following numbers has a prime factorization of 2 x 3 x 7?21
48
42
35

Answers

Answer:

42

Step-by-step explanation:

2 x 3 x 7 = 42

<3

The probability that a city bus is ready for service when needed is 77%. The probability that a city bus is ready for service and has a working radio is 65%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent. (Hint: Divide)

Answers

Answer:

0.84

Step-by-step explanation:

Let the probability that a city bus is ready for service when needed is represented as P(ready)=77%=0.77

Let the probability that a city bus is ready for service and has a working radio be represented as P(ready and radio)=65%=0.65

probabilty that it has a working radio given that it is ready for service =

P(radio and ready)=P(ready and radio) ÷  P(ready)

=0.65÷0.77=0.84416

≈0.84 to the nearest tenth

Does the point (2,3) lie on the line y=3/4x-2

Answers

No.

If you substitute x with 2 and y with 3, it doesn't equal meaning its not a point.

Sqrt 10 times sqrt 20

Answers

√(10)\cdot √(20)=√(10\cdot 20)=√(200)=√(100\cdot 2)=√(100)\cdot √(2)=10√(2)

Find the solution of cos^2xsinx-3sinx=0

Answers

\cos^2 x\sin x-3\sin x=0\n\n \sin x\cdot (\cos^2 x-3)=0\n\n \begin{array}{rcl} \sin x=0&~\text{ or }~&\cos^2 x - 3=0\n\n \sin x=0&~\text{ or }~&\cos^2 x=3\n\n \sin x=0&~\text{ or }~&\cos x=\pm √(3) \end{array}


Since |\cos x|\le 1, the 2nd equation has no solutions for x. So

\sin x=0\n\n x=k\pi~~~~\text{where }k\text{ is an integer.}


Solution: S=\{x:~x=k\pi,~k\in\mathbb{Z}\}
Other Questions
Find the length of the radius for this circle.(x-3)2+(y-5)2 =8
Which of the following points is a solution of y > |x| + 5?a. (0, 5) b. (1, 7) c. (7, 1)
I need the answer to all questions
If an article costs a store $7.45 and if it sells the article for $9.95, what percentage (to the nearest tenth) markup is it using?