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

3x + 4y -25 =0 represents the amount of change sianna should recieve

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal