Question

If f(x) = 5x - 6, which of these is the inverse of f(x)?

A. f^-¹(x) = x/5 +6

B. f^-¹(x) = x/5 -6

C. f^-¹(x) = x+6/5

D. F^-¹(x) = x-6/5

Answer 1

To find the inverse of a function, we need to swap the positions of x and y and then solve for y. In other words, we replace f(x) with y and then solve for x.

• So, let's start by swapping x and y in the function f(x) = 5x - 6:

x = 5y - 6

Next, we'll solve this equation for y:

x + 6 = 5y

y = (x + 6)/5

• Therefore, the inverse of f(x) is f^-1(x) = (x + 6)/5, which is option C.