Question

若f（x）是幂函数，且满足

f(4)

f(2)

=3，则f（

1

2

）=______．

Answer 1

解析：设f（x）=x^α，则有

4α

2α

=3，解得2^α=3，α=log₂3，
∴f（

1

2

）=(

1

2

)α
=(

1

2

)log23
=2-log23
=2log2

1

3

=

1

3

．
故答案为：

1

3