If f :[1, ) [2, ) is given by f (x)=x+ 1 x then f ⁻¹(x) equals

Step-by-step solution

aligned & f(x)=x+ 1 x & let y=x+ 1 x & x y=x^2+1 & x^2-x y+1=0 aligned array ll & x= y y^2-4 2 & x= y+ y^2-4 2 & f ⁻¹(x)= x+ x^2-4 2 array [ x [1, )]