Let f(x)=

and g(x)=

a) find the domains of f (x) and g(x).
b) find f (g(x)) and describe its domain.

Domain:

f(x) has a denominator, which can't be zero. So, its domain is given by

g(x) has a denominator as well. Moreover, it has a root. So, the content of the root can't be negative:

And the denominator can't be zero:

So, the domain is

Composition:

We have

The domain of this function is

But we also have to remember about the domain of g(x): if g(x) is undefined, we can't compute f(g(x))!

So, the domain of f(g(x)) is

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

answer: 1, 3 and 5 are correct

step-by-step explanation: