A. use the composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation.

so basically you do the answer over and over till you get it right cuz thats what my momma told me to do and mommas always right

Step-by-step explanation:

Here we need to find fog and gof, and they must be equal to x .

Let's check out fog

fog = f(g(x))

Substituting the value of g(x) in f(x) for x, we will get

Domain

Here the input function is g(x), and the denominator should not be 0. So x should not be zero. Therefore, domain is

Now let's check gof

gof = g(f(x))

Here we need to insert f(x) in g(x) for x, and on doing that , we will get

Domain

Here the input function is f(x), and denominator should not be zero.

SO domain is

Since fog = gof =x, so the given function are inverses of each other .

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.