Example of a function whose domain is [2, infinity]

Step-by-step explanation:

Let us see how.

Our function contains a square root. And we know that we can not find the square root of any negative number as a square always gives you a positive number . Hence reverse can not be possible. Thus

we have (x-2) under square root. thus this number must be greater than or equal to 0

(x-2)≥0

subtracting 2 from both sides we get

x≥2

Hence our function gives result only for values which are greater than or equal to 2. Or the domain of function is [2,∞]

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph