SAT Math Practice Question #24071 - SATify | SATify

Home Practice Exams Features Pricing Quick Start Guide About

Loading...

SAT Math Practice Question #24071 - SATify | SATify

#24071

algebra

functions

medium

90 sec

Let $f$ be a function with the following properties:

(i) $f (1) = 1$ , and
(ii) $f (2 n) = \frac{1}{n} f (n)$ for any positive integer $n$ .

What is the value of $f (2^{100})$ ?

A.

$2^{4950}$

B.

$2^{- 99}$

C.

$2^{- 100}$

D.

$2^{- 4950}$

E.

$2^{- 9999}$