Thefunctionh(x)isdefinedas:h(x)={⌊4x⌋if x≤π,3−xif π<x≤5.2,x2if 5.2<x.Findh(h(√2)).
I got 32 when I tried to solve this but it was incorrect.. ):
The function h(x) is defined as: h(x)={⌊4x⌋if x≤π,3−xif π<x≤5.2,x2if 5.2<x.Find h(h(√2)).
h(√2)=⌊4⋅√2⌋=⌊4⋅1.41421356237⌋=⌊5.65685424949⌋=5h(5)=3−5=−2h(h(√2))=−2
Thanks!