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If f(x) = x - 3, which of the following is the inverse of f(x)?

O A. f-'(x) = x-3
O B. f-'(X) = x + 3
O c. f-'(X= 3x
O D. f-'(x) = 3 - x

1 Answer

4 votes

Answer:

B. f^-1(x) = x+3

Explanation:

Given the function f(x) = x-3, to get its inverse, the following steps mist be followed.

First we will make y = f(x)

y = x-3

Then we will make x the subject of the formula to have:

y+3 = x-3+3

y+3 = x

x = y+3

Finally, we will replace back y with x to have:

y = x + 3

f^-1(x) = x+3

This gives the inverse of the function.

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