Question

Find the inverse of y=4_1/x

Answer 1

To find the inverse of the function y = 4 + 1/x, we will swap the x and y variables and solve for y.

So, let's start by swapping x and y:

x = 4 + 1/y

Next, let's isolate y:

Subtracting 4 from both sides, we get:

x - 4 = 1/y

To remove the fraction, we can take the reciprocal of both sides:

1 / (x - 4) = y

Therefore, the inverse of y = 4 + 1/x is:

y = 1 / (x - 4)