Question

What is the range of this function? f(x) = log(1/4) x

I know the domain is all real numbers..

Answer 1

\[\log_{\frac{1}{4}}x\]??

Answer 2

yes

Answer 3

Hmm Range should be

\[ y = \log_{\frac{1}{4}}x\]
\[\left(\frac{1}{4}\right)^{y} = x\]

Y is valid for all real numbers

Answer 4

And Yeah Domain isn't all real numbers, domain is x>0

Answer 5

oh..

Answer 6

Yup :-)

Answer 7

so the range is all real numbers?

Answer 8

Yeah!

Answer 9

ok thanks