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Firdavs [7]
3 years ago
14

How are the functions f(x)=16^x and g(x)=16^(1/2)x related? The output values of g(x) are one-half the output values of f(x) for

the same value of x. The output values of g(x) are one-quarter the output values of f(x) for the same value of x. The output values of g(x) are the square root of the output values of f(x) for the same value of x. The output values of g(x) are the square of the output values of f(x) for the same value of x.
Mathematics
2 answers:
Goshia [24]3 years ago
6 0
F(x) =16ˣ     and   g(x) = 16⁽ˣ/₂⁾

Since 16 = 2⁴, then we can write:

f(x) =2⁽⁴ˣ⁾  and  g(x) = 2⁽⁴ˣ/₂⁾ = 2²ˣ

for x = 1 f(x) =  2⁴ = 16
for x = 1 g(x) = 2² = 4
(√16 = 4)

for x = 2 f(x) =  2⁸ = 256
for x = 2 g(x) = 2⁴ =16
(√256) = 16

for x = 3 f(x) =  2¹² = 4096
for x = 1 g(x) = 2⁶ =  64
(√4096 = 64)

We notice that:
The output values of g(x) are the square root of the output values of f(x) for the same value of x.
 
NeTakaya3 years ago
6 0

Answer:

C is correct on edge

Step-by-step explanation:

I took the test

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