Step 1: Set it to be “y=“
y=1/2 x - 1
Step 2: Swap x and y:
x = 1/2 y - 1
Step 3: solve for y by adding 1 and then multiplying by 2:
x + 1 = 1/2 y
2(x+1) = y
2x+2 = y
Step 4: flip it so it’s y= and then put in inverse function notation:
y = 2x + 2
f^-1 (x) = 2x+2
It’s always this same process. The only difference is step 3, on how you might solve your specific equation for y.