Question

Samantha has found 3 points on the function f(x) = 4x - 1. They are (-3, -13), (0, -1), and (2, 7). Which answer choice shows three points on the inverse function?

Answer 1

Answer: (-13, -3), (-1, 0), and (7, 2).

Explanation:

First, we have a function f(x) and we know that 3 points (x, y) of this function are:

(-3, -13), (0, -1), and (2, 7).

Now, if we have a function g(x) and we know that g(x) is the inverse of f(x), we have that:

g(f(x)) = x.

this means that if f(x) = y then g(y) = x.

then if (-3, -13) is a point in the f(x) graph, (-13, -3) must be a point in the g(x) graph.

Then 3 points in on the inverse of the function f(x) are:

(-13, -3), (-1, 0), and (7, 2).