What is the inverse of the function below? f(x) = 5x - 2 a. f -1(x) = x - 2/ 5 b. f -1(x) = x + 2 / 5 c. f -1(x) = -2 + 5x d. f -1(x) = -5x + 2

B. f -1(x) = x + 2 / 5

Step-by-step explanation:

To find the inverse of a function we need to interchange x and y an solve for y.

Since , then

Add 2 to both sides

Divide both sides by 5

We can conclude that the correct answer is B. f -1(x) = x + 2 / 5

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents