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Use a graphing utility to graph f, g and y = x in the same viewing window to verify geometrically that g is the inverse function of f. (Be sure to restrict the domain of f property.)

f (x) = sin x,     g (x) = arcsin x

asked Jan 9, 2015 in TRIGONOMETRY by anonymous

1 Answer

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Step 1:

The functions are image and image.

Graph the functions image,image and image.

image

Observe the graph:

The functions image and image are symmetrical about the line image.

Therefore image is inverse function of image.

Solution:

image is inverse function of image.

answered Jan 13, 2015 by Sammi Mentor

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