Find an explicit formula for f –1 and use it to graph f –1, f, and the line y = x on the same screen. To check your work, see whether the graphs of f and f –1 are reflections about the line.
30. f(x) = 2 – x4, x … 0
To find: The formula for the inverse of the function ; sketch the graph of and check whether graphs reflects about the line .
Let the given function as .
Solve this equation for x as follows.
Thus, the value of .
Interchange x and y and obtain the inverse function as, .
The inverse function is defined for
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