katt1inenew1ell
Answered

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x

g(x) = 5x

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

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

Verified Answer :

The correct answer for the question that is being presented above is this one: "4. The range of both functions is y > 5; 1. The domain of both functions is all real numbers." Keshawn is asked to compare and contrast the domain and range for the two functions. f(x) = 5x; g(x) = 5x.

Answer: The correct option is 'The domain of both functions is all real numbers'.

Step-by-step explanation:

Here, functions are f(x) = 5x and g(x) =5x

Since the domain of f(x) is, D= { x : x belongs to all real numbers.}

Therefore, Domain of f(x) is all real numbers.

Since f(x) and g(x) have the same value,

Therefore, Domain of g(x) is also the set of real numbers.

Now, range of f(x) is , R=  { 5x : x belongs to all real numbers.}

Therefore, Range of f(x) is all real numbers.

⇒ Range of g(x) is also all real numbers.

So, we can say by the above explanation, only option (1) is correct.


Related Questions