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Ipatiy [6.2K]
3 years ago
10

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

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

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) = \frac{x}{3}.



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

f-1(x) = \frac{x}{3}

f-1(27) = \frac{27}{3}

f-1(27) = 9

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