Question

If (7, -4) is on the graph of F(x), which point must be on the graph of the inverse function F -1(x)?

Answer 1

If (7, -4) is on the graph of F(x), then (-4, 7) is on the graph of F⁻¹(x).

Answer 2

Answer:  The required point is (-4, 7).

Step-by-step explanation:  Given that the point (7, -4) lies on the graph of the function $f(x).$

We are given to find a point that must lie on the graph of the inverse function $f^{-1}(x).$

We know that

If a point (a, b) lies on the graph of a function $g(x),$ then the point (b, a) must lie on the graph of the function $g^{-1}(x).$

So, from the given information, we get

the point (-4, 7) must lie on the graph of the inverse function  $f^{-1}(x).$

Thus, the required point is (-4, 7).