What are the possible values of x for the following functions?
f(x)= 3x/(x−1)(x−2)

all real numbers except the number 2 and number 1

Step-by-step explanation:

we have

we know that

In a quotient, the denominator cannot be equal to zero

so

Solve for x

The values of  x are

x=2, x=1

so

The domain of the function is all real numbers except the number 2 and number 1

In interval notation

(-∞,1) ∩ (1,2) ∩ (2,∞)

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.