Question

find the inverse of the function. is the inverse a function?

y=4x-3

y=
is the inverse a funciton?

Answer 1

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.