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k0ka [10]
3 years ago
5

a. Determine whether f is a bijection function. Briefly explain. f colon spaceX rightwards arrow R comma space f (x )space equal

s 3 space cube root of x. (R comma space Z set of real numbers and integers respectively) b. Redefine the domain and/or codomain of the function f colon spaceX rightwards arrow R comma space f (x )space equals space 2 square root of x , so that f is a bijection. (R comma space Z are sets of Real Numbers and Integers respectively) c. Determine the type of the function from R to R (R set of real numbers). f(x)
Mathematics
1 answer:
gladu [14]3 years ago
5 0

Answer and Step-by-step explanation:

Solution:

(a) f is bijection function such that:

given function :         f: x → R,  and  f(x) = cube root of x

a bijective function is one to one correspondence, each element of one set is paired with exactly one element of other set. And each element of other set paired with exactly one element of first set.

The domain of cube root function is the set of all real numbers.

A cube root can use all real numbers because it is possible for three negative to equal a negative.

(b) the domain of function:

f: x → R,  and  f(x) = 2 square root of x

a square root function contain a radical, since the radical cannot be negative, we can calculate for positive or zeroes value.

The domain of a function is its range.

Range of function is all valid outputs of that function.

square root is greater than or equal to zero so we use only nonnegative numbers in square root.

For square root function, range of function is values produced .x results in a radicand that is equal to or greater than zero.

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X + (-4) = -2 <br> What does X repesents??? Please help
Nonamiya [84]

Answer:

x=2

Step-by-step explanation:

x+(-4) is the same as x-4

First you have to get X alone so you add 4 to both sides because when you add 4 to both sides it will take away the 4 on the x side.

x-4=-2

+4    +4

x= -2+4                or you can see this as 4-2 which is 2

x=2

8 0
2 years ago
Read 2 more answers
Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two clas
Grace [21]

A system of the equation to be Dependent Consistent System the system must have multiple solutions. The correct option is C.

<h3>What is a System of equation?</h3>

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

For the system of equations to have infinite number of solutions, the lines of the equations must coincide, therefore, the line must overlap on each other.

For the lines to overlap the equations must be in a ratio. Therefore, the ratio of the left sides of the equations must be equal to the right side,

\dfrac{35x+14y}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac{7(5x+2y)}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac71 = \dfrac{119}{k}\\\\k = 17

Hence, the value of k must be 17, therefore, the correct option is C.

Learn more about System of equation:

brainly.com/question/12895249

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5 0
2 years ago
Find the slope-intercept equation of the line
Ad libitum [116K]

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

lmk if you want an explanation

7 0
2 years ago
Find the GCF of 18xy and 32xyz
Tanzania [10]
<h3>Answer:</h3>

2xy

<h3>Step-by-step explanation:</h3>

GCF stands for the greatest common factor.

Finding All Factors

To find the GCF you need to find the factors of each term. First, find the factors of the coefficients.

  • The factors of 18 include: 1, 2, 3, 6, 9 and 18
  • The factors of 32 include: 1, 2, 4, 8, 16, and 32

Next, lay out the variables that are factors.

  • The variables of 18xy are x and y.
  • The variables of 32xyz are x, y, and z.

Remember that variables count as factors

Greatest Common Factor

Now that we have all of the factors we can find the GCF. The GCF will be the largest number and the most variables that are a factor of both terms.

In this case, the largest factor of 18 and 32 is 2. Since both x and y are factors of both terms, the GCF is 2xy.

4 0
2 years ago
Factor the expression completely 8y - 36
Marina86 [1]

ALL yourr doing is just adding 8 and 36

y= 4\frac{1}{2} or y= 4.5

8 0
2 years ago
Read 2 more answers
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