State the domain and range for the function. f(x)=3 cot (2x)

Domain =  .

Range = [-3,3] .

Step-by-step explanation:

The given function :  

Parent function to this function, which is a trigonometric function.

The property of this function is :

Now , for the given function,

Domain would be same as g(x),i.e. Domain of f(x) is .

Also,  

So , Range of f(x) is [-3,3]

Hence,  the domain and range for the function is

Domain =  .

Range = [-3,3] .

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.