Respuesta :
The domain of both functions is all real numbers.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
Answer with explanation:
The two functions are
→ f(x) = 5^x
Taking log on both sides
[tex]x \log 5=\log f(x)\\\\x=\frac{\log f(x)}{\log 5}[/tex]
→g(x) = 5^x
Taking log on both sides
[tex]x \log 5=\log g(x)\\\\x=\frac{\log g(x)}{\log 5}[/tex]
→Domain of a function is defined as those values of Independent variable for which dependent variable is defined.
→And range of a function is defined as those value of dependent variable for which independent variable is defined.
→Domain of f(x) and g(x) will be all x>0.
→Range of f(x) and g(x) will be y>0.
The correct options describing function f(x) and g(x) are
1.→The domain of both functions is all real numbers.
2.→ The range of f(x) is y > 0.
3.→The range of g(x) is y > 0.