AAPL wrote:If g is a function defined for all x by g(x) = (x^4)/16, then what is the value of g(2x) in terms of g(x)?
$$A.\ \frac{g\left(x\right)}{16}$$
$$B.\ \frac{g\left(x\right)}{4}$$
$$C.\ 4g\left(x\right)$$
$$D.\ 8g\left(x\right)$$
$$E.\ 16g\left(x\right)$$
Let x=2, with the result that g(x) = g(2) = 2�/16 = 1.
The question stem asks for the value of g(2x):
g(2x) = g(2*2) = g(4) = 4�/16 = (16*16)/16 = 16.
Now plug g(x) = 1 into the answers to see which yields the target value of 16 for g(2x).
Only
E works:
16g(x) = 16*1 = 16.
The correct answer is
E.
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