Answer :

To find the value of [tex]\( f(3) \)[/tex] for the function [tex]\( f(x) = 4\left(2^x\right) \)[/tex], follow these simple steps:

1. Substitute [tex]\( x = 3 \)[/tex] into the function:
The function is given as [tex]\( f(x) = 4\left(2^x\right) \)[/tex]. We need to find [tex]\( f(3) \)[/tex], so replace [tex]\( x \)[/tex] with 3.

2. Calculate [tex]\( 2^3 \)[/tex]:
First, compute the value of [tex]\( 2^3 \)[/tex].
[tex]\[ 2^3 = 2 \times 2 \times 2 = 8 \][/tex]

3. Multiply by 4:
Now, take the result from the previous step and multiply by 4 as per the function definition.
[tex]\[ 4 \times 8 = 32 \][/tex]

Therefore, the value of [tex]\( f(3) \)[/tex] is [tex]\( 32 \)[/tex].

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