Question

If g(x) is the inverse of f(x) = x^x, which of

the following is on g(x)?
F (−1, 1)
H (27, 3)
G (2, 4)
J (64, 4)

Answer 1

Answer: The correct answer is G.

Explanation:

g(f(x)) = x

In this case, f(x) = x^x, so we can plug this into the equation above:

g(x^x) = x

To find the inverse function g(x), we need to solve this equation for x:

x = g(x^x)

Looking at the given answer choices, we see that only one of them satisfies this equation:

G (2, 4)

Since (2,4) is the only point on the inverse function g(x), The correct answer is G.