Which function, g or h, is the inverse of function f, and why? a. the function h is the inverse because h and f intersect at one, and only one, point. b. the function h is the inverse because for every point (x, y) on the graph of f, there is a corresponding point (y, x) on the graph of h. c. the function g is the inverse because for every point (a, b) on the graph of f, there is a corresponding point (b, a) on the graph of g. d. the function g is in the inverse because g and f intersect at multiple points.

The graph of a function and its inverse function are symmetric about the line y=x

On the graph above, I made a line y=x using green color.

The function h(x) is the inverse of f(x) because it is symmetric about the line y= x.

Hence option number B is correct.

Thus, The function h is the inverse because for every point (x, y) on the graph of f, there is a corresponding point (y, x) on the graph of h.

An inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function to y gives the result x, and vice versa, i.e., if and only if .

One of the main properties of function and its inverse function is:

From the diagram you can see that blue and red curves are reflections of each other across the line y = x, then the function h is the inverse, because for every point (x, y) on the graph of f, there is a corresponding point (y, x) on the graph of h.

correct choice is B.

step-by-step explanation:

depends on how many days you are talking about

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