The graph of f(x) is shown below.
(first image below)
if g(x) and f(x) are inverse functions, which graph represents g(x)?
a. 2nd graph below
b. 3rd graph below
c. 4th graph below
d. 5th graph below

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. The correct option is B, the third graph.

Remember that two functions f(x) and g(x) are inverses if:

f(g(x)) = g(f(x)) = x

This also means that if:

f(x) = y

then g(y) = x.

So we basically should have the exact same graph of f(x), but we just "interchange" the two axes.

From this, we can see that the correct option is the third graph (the one where the curve goes upwards. So the correct option is B.

If you want to learn more about inverse functions, you can read:

link

d) -1

step-by-step explanation: