What is the domain of f(x)=arcsin(5x4)?

1 Answer
Jul 25, 2018

Domain; x[0.6,1].

Explanation:

The range is y[π2,π2].

Here, X=5x4[1,1]

x[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 2π and

amplitude 0.2,

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