Question

Which of the following is the equation of the inverse of y=14*?

(1) y=x¹4
(3) y = log₁4 x
(2) y = 14/x
(4) x = log₁4 y

Answer 1

The equation of the inverse of y=14* is y = 14/x.

Step-by-step explanation:

The equation of the inverse of y=14* is y = 14/x.

To find the inverse of a function, we interchange the roles of x and y and then solve for y. In this case, we have:

x = 14/y

Multiplying both sides by y, we get:

y = 14/x

So, the equation of the inverse of y=14* is y = 14/x.