Find the inverse of y=4_1/x
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)
To find the inverse of the function y = 4 + 1/x, we can follow these steps:
Step 1: Replace y with x and x with y:
x = 4 + 1/y
Step 2: Solve the equation for y:
x = 4 + 1/y
Subtract 4 from both sides:
x - 4 = 1/y
Step 3: Take the reciprocal of both sides:
1/(x - 4) = y
Therefore, the inverse of the function y = 4 + 1/x is y = 1/(x - 4).