We expect to see a ___ for the graph of a composition of a function and its inverse function, if the domain of each is all real numbers.
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If the domain of a function and its inverse function is all real numbers, then the graph of the composition of the function and its inverse function is expected to be a straight line y = x. This is because the composition of a function and its inverse function returns the input, which is the same as the output of the inverse function.
In other words, if we start with an input value x, the function will apply a transformation to it to produce an output y, which then becomes the input for the inverse function. The inverse function will then apply a transformation to y to produce the original input value x. Therefore, the input value and the output value of the function and its inverse function are the same, which means that the graph will be the straight line y = x.
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