AIR MATH

Math Question

Consider the three functions below.
\[
f(x)=-\frac{6}{11}\left(\frac{11}{2}\right)^{x} \quad g(x)=\frac{6}{11}\left(\frac{11}{2}\right)^{-x} \quad h(x)=-\frac{6}{11}\left(\frac{11}{2}\right)^{-x}
\]
Which statement is true?
The range of \( h(x) \) is \( y>0 \).
The domain of \( g(x) \) is \( y>0 \).
The ranges of \( f(x) \) and \( h(x) \) are different from the range of \( g(x) \).
The domains of \( f(x) \) and \( g(x) \) are different from the domain of \( h(x) \).

Solution

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