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a function is defined on the set of real numbers by f(x)= 4-x/x find in its simplest form an expression for f(f(x))
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4 votes
a function is defined on the set of real numbers by f(x)= 4-x/x find in its simplest form an expression for f(f(x))

User Lucas Ross
by
5.7k points

1 Answer

5 votes
replace the x in (4-x)/x by (4-x)/x:-


= 4 - (4 - x) (4 - x)
--------- / -------
x x

= 4x - 4 + x x
------------ * --------
x (4 - x)


= 5x - 4
------- Answer
4 - x

User Yahnoosh
by
5.7k points
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