Please help!

Question

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

Answer 1

Step 1:

The functions are and .

Graph the functions , and .

Observe the graph:

The functions and are symmetrical about the line .

Therefore is inverse function of .

Solution:

is inverse function of .