Question

The graph of function $f$ passes through $(7,-1)$.

Function $g$ satisfies $f(g(x)) = x$ and $g(f(x)) = x$ for all real numbers.

What point must the graph of $g$ pass through?

Answer 1

Answer: (-1,7)

Step-by-step explanation:

Answer 2

If the function f(g(x)) = x passes through (7, -1). then the function g(f(x)) = x passes through (-1, 7).

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The graph of function f passes through (7,-1). Function g satisfies f(g(x)) = x and g(f(x)) = x for all real numbers.

At x = -1, we have the function f

$f(7) = -1$

The function g is an inverse of function f.

$g(-1) = 7$

More about the function link is given below.

https://brainly.com/question/5245372