Final answer:
To confirm inverse functions, one must switch x and y and then solve for y, which is true. The process is similar to 'undoing' operations such as squaring in the Pythagorean Theorem to find the original value of a side of a triangle.
Step-by-step explanation:
The statement about confirming inverse functions is true. To find the inverse of a function, we switch the x and y in the original equation and then solve for y. This method is necessary to 'undo' the function and find its inverse. For example, if we have a function given by y = f(x), its inverse would be found by first writing x = f(y) and then solving for y to get y = f-1(x).
In the context of the Pythagorean Theorem, to 'undo' the squaring of the side length 'a' when a2 + b2 = c2, we would subtract b2 from c2 to find a2 = c2 - b2, and then take the square root of both sides to find 'a'. This step is comparable to finding an inverse because we are reversing the squaring operation to find the original value of 'a'.