Which graph represents the function f(x)=1/x+3-2

files are attached below

The graph as shown below.

Step-by-step explanation:

Given : The function

We have to plot the graph for the given function    

Consider the given function

Domain of function

DOMAIN is set of input values for which the function is real and has defined values.        

So, The given function is undefined at x = 3

So, Domain is

RANGE is the set of values of dependent variable  for which the function is defined.

Inverse of given function is  

Now, domain of inverse function is

Now, x intercept and y- intercepts

x intercept where y = 0 and y- intercept where x= 0

Let f(x) = y

Then

Put x = 0

thus y- intercept is

Now put y = 0

Then  x- intercept is

Now, Calculate the vertical and horizontal asymptotes,

Vertical asymptotes,

Go over every undefined point and check if at least one of the following statements is satisfied.

Thus, The vertical asymptotes is x = 3

And For horizontal asymptotes,

We have y = -2 as horizontal asymptotes.

Plot we get the graph as shown below.

-8

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)