Question

How are the functions f (x) = 16 Superscript x and g (x) = 16 Superscript one-half x related

Answer 1

Answer:

c). The output values of g(x) are the square root of the output values of f(x) for the same value of x.

Step-by-step explanation:

Answer 2

Answer:

  g(x) is f(x) expanded horizontally by a factor of 2

Step-by-step explanation:

Given:

  f(x) = 16^x

  g(x) = 16^(x/2)

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Replacing x in a function with x/k expands the graph horizontally by a factor of k. Here, it seems we have ...

  g(x) = f(x/2)

so g(x) is a horizontal expansion of f(x) by a factor of 2.