find the inverse of the function. is the inverse a function?
y=4x-3
simplify your answer
y=
is the inverse a function?
To find the inverse of the function y = 4x - 3, we need to switch the x and y values and solve for y.
So, starting with y = 4x - 3, let's switch the x and y values:
x = 4y - 3
Now, let's solve this equation for y:
x + 3 = 4y
(x + 3)/4 = y
Therefore, the inverse of the function y = 4x - 3 is y = (x + 3)/4.
To determine if the inverse is a function, we need to check if each x-value in the original function corresponds to exactly one y-value in the inverse function. In other words, we need to verify if the inverse passes the vertical line test.
In this case, the inverse y = (x + 3)/4 is indeed a function as long as the denominator (4) is not zero.