Question

what is the inverse equation of f(x)=8sin(10x)

Answer 1

\(\bf f(x)=8sin(10x) \implies y = 8sin(10x)\\ \quad \\
f^{-1}(x) \implies x = 8sin(10y) \implies \cfrac{x}{8} = sin(10y)\\
\implies sin^{-1}\left(\cfrac{x}{8}\right) = sin^{-1}\left(sin(10y)\right)\)

I gather you can get it from there

Answer 2

ok, thanks