Question

If the graph of f(x) has the point (2,7) then what is one point that will be on the graph of f-1(x)

Answer 1

The graph of f^-1 (x) is called the inverse function of f (x). The relationship between the two is that the point (x,y) is on the graph of f (x) if and only if the point (y,x) is on the graph of f^-1 (x).

This means that if the point (2, 7) is on f (x), therefore the point (7, 2) is on f^-1 (x).

Answer: (7, 2)

Answer 2

Answer: The required point is (7, 2).

Step-by-step explanation: Given that the graph of f(x) has the point (2, 7).

We are to find one point that will be on the graph of
`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) will always lie on the the graph of the inverse function
`g^(-1)(x).`

Therefore, the one point that will lie on the graph of
`f^(-1)(x)` is (7, 2).

Thus, the required point is (7, 2).