Question

Which statements could he include in his explanation? Check all that apply.

The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of both functions is y > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.

Answer 1

Answer with explanation:

The two functions are

→ f(x) = 5^x

Taking log on both sides

`x \log 5=\log f(x)\\\\x=(\log f(x))/(\log 5)`

→g(x) = 5^x

Taking log on both sides

`x \log 5=\log g(x)\\\\x=(\log g(x))/(\log 5)`

→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.

Answer 2

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.