Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
7 MPH because 2 1/3
in 20 minutes. So you multiply 20 by 3 you get 60. Then you multiply 2 by 3 you get 6. Then you multiply 1/3 x 3 and you get 1. 6=1=7 Hope This Helps
Original equation is 
So,
and

If we compare this equation with the given options, we can easily find that this matches with the last one
with P = p/2.
Hence, correct option is
.
Let x represent number of bracelets and y represent number of necklaces.
We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be
. We can represent this information in an equation as:

We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be
grams.
We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be
grams.
Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:

Therefore, our required system of equations would be:

