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) = [tex] \frac{x}{3} [/tex].
Now that we have this, we can plug in 27 (the number in parenthesis) and find the result.
f-1(x) = [tex] \frac{x}{3} [/tex]
f-1(27) = [tex] \frac{27}{3} [/tex]
f-1(27) = 9
