Question

Match the functions to their domains

Answer 1

I am just going to say that 4 answer in the small boxes (15x,...) are in order a,b,c,d and answer in long boxes 1,2,3,4 ( lazy to type)

a is paired with 4

b is paired with 2

C is paired with 3

d is paired with 1

Answer 2

Explanation:

f(x) =15x

Given function is defined for all values of x therefore its domain is all real numbers.

f(x) =
`√(x)`

we know that value in the square is defined only for non negative numbers

therefore domain of this function is set of all non negative real numbers

f(x) =
`(1)/(x-2)`

here we can see that function is not defined when x =2 and it is defined for rest of the values

therefore here function domain is set of all real numbers except 2 .

f(x) =
`(1)/(√(x-2))`

here we can see that function is not defined for x=2 and when value in the square root is negative.

so domain of this function is all real values greater than 2

that is x>2