Question

.....

Answer 1

Step 1) replace f(x) with y

Step 2) swap x and y

Step 3) solve for y

Answer 2

f(x) = 2x + 1

y = 2x + 1 ... step 1

x = 2y + 1 ... step 2

x-1 = 2y + 1-1 ... step 3 is this step and the other steps below

x-1 = 2y

2y = x-1

2y/2 = (x-1)/2

y = (x-1)/2


So the inverse function is \[\Large f^{-1}(x) = \frac{x-1}{2}\]