Given the function f(x) = 3x, find the value of f−1(27).

the value of f-1(27) is 9.

In order to find this answer, we first have to find the inverse function (since that is what f-1 means). To do this, we switch the f(x) value and the x. Then we solve for the new f(x). The result is the inverse function. The work for this is below.

f(x) = 3x ----> Switch the f(x) and the x.

x = 3f(x) ---> divide by 3.

f-1(x) = .

Now that we have this, we can plug in 27 (the number in parenthesis) and find the result.

f-1(x) =

f-1(27) =

f-1(27) = 9

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.