What is the domain for the following function?
y= (x+1)/(x^2+x-6)
a) {x does not equal -1}
b) {x does not equal -3; x does not equal 2}
c) {x does not equal -3}
d) {x does not equal 0}

it's B

Step-by-step explanation:

the set of numbers for which a function is defined is called a domain of a function

if a number is not in the domain of a function, then the function is undefined for that number

denominator must not be zero

if we plug -3 then the y

=(-3+1)/(9+-3-6)

=(-2)/9-9

=-2/0

which is undefined for x=-3

now

if we plug 2 we have

(2+1)/(4+2-6)

=3/0

the function is undefined for x=2

so

x≠3, x≠2

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.