whats the inverse of this function: y=2(x+3)*2+1

1 answer

To find the inverse of the function y = 2(x+3)*2+1, we need to switch the x and y variables and then solve for y.

The original function is y = 2(x+3)*2 + 1.

Let's rewrite it in terms of x:
y = 2(x+3)*2 + 1
y = 4(x+3) + 1
y = 4x + 12 + 1
y = 4x + 13

Now, let's switch the x and y variables:
x = 4y + 13

The inverse function is x = 4y + 13.

Therefore, the inverse of the function y = 2(x+3)*2+1 is x = 4y + 13.