I have some question related to integration!! (1 Viewer)

[lonelynight99]

How is f^-1 (x) of f(x)= sin^-1 (x/4) is 4sinx?

 

[bleakarcher]

f(x)=y=sin^(-1)[x/4]
y<->x:
x=sin^(-1)[y/4]
sin(x)=y/4
y=4sin(x)
Hence, f^[-1](x)=4sin(x)

 

[lonelynight99]

Thanks