find the inverse of the function. is the inverse a function?
y=4x-3
y=
is the inverse a funciton?
To find the inverse of the function y = 4x - 3, we will swap the x and y variables and solve for the new y.
So, let us start with y = 4x - 3 and swap the variables:
x = 4y - 3
Next, we will isolate y:
4y = x + 3
y = (x + 3)/4
Thus, the inverse of the function is y = (x + 3)/4.
To determine if the inverse is a function, we need to check if there is a unique output for every input. In this case, the inverse is a function because for every x-value, there is only one corresponding y-value.