Which of the following correctly describes the domain of the function shown
below?
r(x) = 2x/x-1

Option D:

is the domain of the function.

Solution:

Given function is

To find the domain of the function:

Option A:

Substitute x = 0 in r(x).

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, is not the domain of the function.

Option B:

Substitute x = –1 in r(x).

If x = –1, then r(–1) = 1

So that x = ± 1 is false.

So, is not the domain of the function.

Option C:

Substitute x = 1 in r(x).

It is indeterminate.

So, all real numbers are not the domain of the function.

Option D:

Substitute x = 1 in r(x).

It is indeterminate.

So, is the domain of the function.

answer: this doesnt make any sense especially the photo.

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places