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and what does he mean by 'simply calculate' ?

was he talking about a particular expression for f(x) ?

oh yeah,., the f[x] = 5.1x^3
Does he just want me to fill in the equation ?

and simplify it?

100(f[x+1]/f[x]-1)
\[100*(\frac{f(x+1)}{f(x)} -1)\ or\ 100*(\frac{f(x+1)}{f(x)-1})\]

is that a mathematical way of proving that there is precisely only 1 solution for each value of x ?

yes

or a more simple graph

so f(x) is just 5.1x^3?

okay, let me ask again.. what does it mean by, "to see if it is a function of x" ?

Or you can ask your teacher to clarify the purpose of this exercise

**\(x \in (-1, 1)\)