SAT Math Practice Question #26789 - SATify | SATify

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SAT Math Practice Question #26789 - SATify | SATify

#26789

functions

algebra

Relative Motion

hard

120 sec

The function $f$ has the property that for each real number $x$ in its domain, $1/ x$ is also in its domain and

$f (x) + x f (\frac{1}{x}) = 1$

What is the largest set of real numbers that can be in the domain of $f$ ?

A.

$\emptyset$

B.

$- 1, 1$

C.

$1$

D.

$- 1$

E.

$x ∣ x \neq = 0$