F(x)= 1/x-4, g(x)=4x+1/x a. use composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation.

A. Yes, they are inverse of each other.

B. Domain and range of the compositions is .

Step-by-step explanation:

A. We have, and .

Now, 'when two functions f and g are inverses of each other, they satisfy the property '.

So, we have,

i.e.

i.e.

i.e.

i.e.

i.e.

Also,

i.e.

i.e.

i.e.

i.e.

i.e.

Thus, we get for the given function f and g, .

Hence, they are inverse of each other.

B. Now, as we have, .

That is, the composition of the functions is equal to the identity function.

Thus, the domain and range are the set of all real numbers respectively.

So, in the interval notation, we have,

Domain and range of the compositions is .

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy