What is the inverse of y = 4x - 2?
Is it y = 1/4x - 1/2
If that is wrong, can you direct me towards the right answer or how to find it
Thank you
y=4x-2
x=4y-2
y=1/4(x+2)which is different from yours by a sign.
Thank you
To find the inverse of a function, we need to interchange the roles of x and y and solve for y.
The given equation is y = 4x - 2. To find the inverse, let's start by swapping x and y:
x = 4y - 2
Now, let's solve this equation for y. Begin by isolating y:
x + 2 = 4y
Next, divide both sides of the equation by 4 to solve for y:
(y = (x + 2) / 4)
Therefore, the inverse of y = 4x - 2 is given by y = (x + 2) / 4.
Now, let's check if y = 1/4x - 1/2 is the correct inverse.
Substitute y = 1/4x - 1/2 into the original equation y = 4x - 2:
1/4x - 1/2 = 4x - 2
To determine if this equation is true, we can simplify it:
1/4x - 1/2 = 4x - 2
1/4x - 4x = -2 + 1/2
-15/4x = -3/2
This equation is not equivalent to the original equation, y = 4x - 2. Hence, y = 1/4x - 1/2 is not the correct inverse.
The correct inverse is y = (x + 2) / 4.