Question

If f(x) = 7x-6, which of the following is the inverse of f(x)?

O A. f-¹(x) = 276
OB. f¹(x) = 276
O C. f-¹(x) = 2+7
6
OD. f1(x) = 27

Answer 1

The inverse of f(x) = 7x - 6 is f-1(x) = (x + 6)/7.

Step-by-step explanation:

The inverse of a function can be found by swapping the roles of x and y and solving for y. To find the inverse of f(x) = 7x - 6, we need to interchange x and y and solve for y.

Starting with x = 7y - 6, we can solve for y by adding 6 to both sides and then dividing by 7:

y = (x + 6)/7

Therefore, the inverse of f(x) is f-1(x) = (x + 6)/7.

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