Which expression is equivalent to the following complex fraction?

Option (3) is correct.

The given expression is equivalent to

Step-by-step explanation:

Given expression

We have to find an equivalent fraction to the given expression    out of given options.

Consider the given expression

Divide fractions

We have,

Cancelling common factor x, we have

Using algebraic identity , we have,

Apply on we get,

Substitute, we get,

Cancelling out common factor (x-3) , we get

Thus, the given expression is equivalent to

Option (3) is correct.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

cant open file sorry!

step-by-step explanation: