Answer:
Please see below.
Step-by-step explanation:
f^-1 (x) essentially means the reverse.
We can substitute y for x in the equation and solve for y:
x = 4y -1
x+1 = 4y
y = (x+1)/4
so that is our answer for the first one:
f^-1(x) = (x+1)/4
We do the same trick for the second question:
x = 2y +1
x-1 = 2y
y = (x-1)/2
so the answer is f^-1(x) = (x+1)/2
The last question is slightly more complex, we can write is as:
x = 2y/(y-1)
x(y-1) = 2y
yx -x = 2y
yx = 2y + x
yx - 2y = x
y(x-2) = x
y = x/(x-2)
so the answer is x/(x-2)
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