Question

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

Answer 1

Answer:
`f(-3)=\frac12`

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((1)/(2))^3\ [a^(-n)=\frac1{a^n}]\\\\=4*\frac1{2^3}\\\\=4*\frac18\\\\=\frac12`

Therefore, the value of
`f(-3)=\frac12`.