Consider the three functions below. f(x) = Negative StartFraction 6 Over 11 EndFraction (eleven-halves) Superscript x g(x) = StartFraction 6 Over 11 EndFraction (eleven-halves) Superscript negative x h(x) = Negative StartFraction 6 Over 11 EndFraction (eleven-halves) Superscript negative xWhich 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).

Answer:The range of g(x) is y > 0The ranges of f(x) and h(x) are different from the range of g(x)Step-by-step explanation:we have[tex]f(x)=-(\frac{6}{11})^{x}[/tex][tex]g(x)=(\frac{6}{11})^{-x}[/tex][tex]h(x)=-(\frac{6}{11})^{-x}[/tex]Using a graphing toolsee the attached figureVerify each statementcase A) The range of h(x) is y > 0.The statement is falseThe range  of h(x) < 0case B) The range of g(x) is y > 0.  (Note the statement is The range of g(x) is y > 0 instead of  The domain of g(x) is y > 0) The statement is true (see the attached figure)case C) The ranges of f(x) and h(x) are different from the range of g(x)The statement is true (see the attached figure)BecauseThe ranges of f(x) and h(x) are y < 0andThe range of g(x) is y > 0case D) The domains of f(x) and g(x) are different from the domain of h(x)The statement is falseThe domain of the three functions is the same