y-x-x-x-with-x-R-find-the-range-of-function-and-solve-x-x-x-150-

Question Number 84728 by mr W last updated on 15/Mar/20

y = x [x [x]] w i t h x \in R^{+}

f i n d t h e r a n g e o f f u n c t i o n

a n d s o l v e x [x [x]] = 150 .

Commented by MJS last updated on 16/Mar/20

Commented by MJS last updated on 16/Mar/20

this is my work to an earlier question . I never

posted it before

Commented by mr W last updated on 16/Mar/20

t h a n k y o u s i r! {t h a t}^{'} s p e r f e c t .

Commented by MJS last updated on 16/Mar/20

I started trying the next stage

x [x [x [x]]]

but {it}^{'} s getting very complex

Commented by mr W last updated on 16/Mar/20

{t h a t}^{'} s t r u e s i r!

Commented by M±th+et£s last updated on 16/Mar/20

i t h i n k t h e r e i s a t y p o

i f i = 2 k = 1 10 ⩽ n ⩽ 15

Commented by M±th+et£s last updated on 16/Mar/20

a n d

27 ⩽ n ⩽ 30

Commented by MJS last updated on 16/Mar/20

you are wrong because also

q = i^{2} + k

and

\frac{k}{i} ⩽ f < \frac{k + 1}{i}

try it, you cannot get 10, 11, 12 as solution

{it}^{'} s not easy to understand the jumps of

y = x [x [x]]

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