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How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?

The functions f(x) and g(x) are equivalent.

The function g(x) increases at a faster rate.

The function g(x) has a greater initial value.

The function g(x) decreases at a faster rate.


Sagot :

Answer:

  • A. The functions f(x) and g(x) are equivalent.

Step-by-step explanation:

Given  functions:

  • f(x) = √16 = √4² = 4
  • g(x) = ∛64 = ∛4³ = 4

As we see both function are same once roots cleared.

Correct choice is A

Step-by-step explanation:

  • f(x) = [tex]\sqrt{16} = 4[/tex]
  • g(x) = [tex]\sqrt[3]{64} = 4[/tex]
  • f(x) = g(x) ==> 4 = 4

Soo, answer is option (A.)