Respuesta :

MarkV
Hi there!

Let's solve this problem step by step!
[tex]f(x) = \frac{1}{8} (8 {}^{x})[/tex]

To find f(3) we must substitute x = 3 into the formula.
[tex]f(3) = \frac{1}{8} (8 {}^{3} )[/tex]

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
[tex]f(3) = \frac{1}{8} \times 512[/tex]

And finally multiply.
[tex]f(3) = \frac{1}{8} \times \frac{512}{1} = \frac{512}{8} = 64[/tex]

Hence, the answer is D. 64.
~ Hope this helps you!
david8644

Answer:

D. 64

Step-by-step explanation:

To evaluate the equation you just have to put the value given into the equation.

The equation given is:

f(x)=([tex]\frac{1}{8}[/tex])([tex]8^{x}[/tex])

So to evaluate f(3) you just put the 3 in the value of x

f(x)=([tex]\frac{1}{8}[/tex])([tex]8^{3}[/tex])

This would be equal to:

f(x)=([tex]\frac{1}{8}[/tex])(512)

Once you do the mutiplication you get:

f(x)=([tex]\frac{512}{8}[/tex])

And the answer would be:

f(x)=64

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