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WARRIOR [948]
3 years ago
15

Question 3 of 25

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

Answer: f(-3)=\dfrac12

Step-by-step explanation:

Given: f(x)=4(2)^x, which is an exponential growth function.

To evaluate: f(-3)

Substitute x=-3 in the given function, we get

f(-3)=4(2)^{-3}\\\\=4(\dfrac{1}{2})^3\ [a^{-n}=\dfrac1{a^n}]\\\\=4\times\dfrac1{2^3}\\\\=4\times\dfrac18\\\\=\dfrac12

Therefore, the value of f(-3)=\dfrac12.

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