Step-by-step explanation:
We need to show whether

or

so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

we can also write it as:

now all we have to do is to make x the subject of the equation.



now we'll interchange the variables

this is the inverse of f(x)

and it does equal to g(x)

Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.
Answer:
21.6 liters
Step-by-step explanation:
40 drops make up a volume of 10 mL
Therefore, the volume of 1 drop of water = 10mL/40 = 1/4 mL= 0.25mL
Since the tap loses 1 drop of water in 1 sec, it loses 0.25mL of water in 1 second
60 seconds make up 1 second so volume of water lost in 1 minute = 0.25 x 60 = 15 mL
60 minutes make up 1 hour so volume of water lost in 1 hour = 15 x 60 = 900 mL
24 hours make up a day so volume of water lost in 1 day = 900 x 24 = 21,600 mL
Since 1000 mL make up 1 liter, divide by 1000 to get volume in liters
Volume of water lost in 1 day = 21600/1000 = 21.6 liters
Can be done as one equation
V lost in one day = 0.25 x 3600 x 24 mL = 21600 mL = 21.6 L
From the problem :

In multiplying expressions with the same bases, the exponent will be added accordingly.
For example :

the exponent of a are m and n, and the product will be a raised to the sum of m and n.
Applying this to the problem, we have :

The answer is d. 6^-1