mcdonaldkayla78
mcdonaldkayla78 mcdonaldkayla78
  • 26-01-2021
  • Mathematics
contestada

Question 3 of 25
Find f(-3) for f(x) = 4(2)^x
Please answer this as fast as you can need it for today

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JeanaShupp
JeanaShupp JeanaShupp
  • 31-01-2021

Answer: [tex]f(-3)=\dfrac12[/tex]

Step-by-step explanation:

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

To evaluate: f(-3)

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

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

Therefore, the value of [tex]f(-3)=\dfrac12[/tex].

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