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If f(x) and its inverse function, fx), are both plotted on the same coordinate plane, what is their point of intersection?

If fx and its inverse function fx are both plotted on the same coordinate plane what is their point of intersection class=

Respuesta :

Answer: (3, 3)

Step-by-step explanation:

the graphs of [tex]f[/tex] and [tex]f^{-1[/tex] are flipped: if the point [tex](x, y)[/tex] is on the graph of [tex]f[/tex], then the point [tex](y, x)[/tex] is on the graph of [tex]f^{-1[/tex].

Any points of intersection will satisfy [tex](x, y) = (y, x)[/tex]. A point that satisfies this property must have the same x and y coordinate. (Think about it.) The only point on [tex]f[/tex] like that is [tex](3, 3)[/tex], so that is the point of intersection.

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