Answer :
Final answer:
Exponential Functions To find the value of f(5) for the function f(x)= 1/9(3)^x, replace x by 5 in the function to get 1/9(3)^5. The result is 27, hence, the correct answer is option A.
Explanation:
The question is asking to find the value of f(5) for the function f(x)= 1/9(3)^x. We replace x with 5 in the given function, which becomes f(5)= 1/9(3)^5.
First, we calculate the value of 3 raised to 5 (3^5) which is 243. Then we divide this result by 9. The calculation is as follows: 243/9 = 27. So, the value of f(5) for the given function is 27. Based on the choices provided, option A is the correct answer.
Learn more about Exponential Functions here:
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Answer:
A
Step-by-step explanation:
to evaluate f(5) , substitute x = 5 into f(x)
f(x) = [tex]\frac{1}{9}[/tex] [tex](3)^{x}[/tex] , then
f(5) = [tex]\frac{1}{9}[/tex] [tex](3)^{5}[/tex] = [tex]\frac{1}{9}[/tex] × 243 = 243 ÷ 9 = 27
