What is the domain of #f(x)=arcsin(5x-4)#?

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Answer 1 · 2018-07-25T03:10:10

Domain; #x in [ 0.6, 1 ]#.

The range is # y in [ -pi/2, pi/2 ]#.

Here, #X = 5x- 4 in [ - 1, 1 ]#

#rArr x in [ 0.6, 1 ]# See graph.
graph{(y-arcsin(5x-4))=0[0.6 1 -1 1]}

The inverse is #x = 0.2 sin y + 0.8, the graph of the inverse is

unrestricted. See the y-unlimited inverse wavy graph, with period #2pi# and

amplitude 0.2,

graph{x - 0.2 sin y - 0.8=0[0 2 -10 10]}