Question

The function g(x)-->4-3sinx is defined for the domain \[{pi /2} \le x \le A\]where A = 3pi/2.
For which value of A, find the value of (g^-1)(3)

Answer 1

4-3sinx = 3

solve x ..

Answer 2

And then?

Answer 3

what is the value of x??

Answer 4

sinx= 1/3

Answer 5

But then there's also inverse of g, so how do I get to the final answer?

Answer 6

let x = a for now,

you know for +a, sin(a) = sin(2\(\pi\) - a) and \(1\pi/2\)< \(\pi - a\) < \(3\pi/2\)

Answer 7

not really following, but carry on...

Answer 8

http://www.wolframalpha.com/input/?i=pi+-+arcsin%281%2F3%29

answer in radians

Answer 9

Thanks :)

Answer 10

yw.