Explain why this is the correct graph for graph f^-1 from f(x) = 2x-1

Okay, so F^-1 represents the reverse of a function. To get a reverse, simply switch the x and y variables and solve for x.

Ex: y = 2x to x = 2y to y = x/2, or y = 1/2x

We do the same thing for this problem.

y = 2x - 1

x = 2y - 1

2y = x + 1

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

This is the correct graph because it is a graph of the reverse function

f^-1(x) = 1/2x + 1/2.

Hope this helps, let me know if I messed up!

y=mx+b is the final answer!   : )

c. (3,2,6) is the answer.