High School

If [tex]f(x) = \left(\frac{1}{9}\right)^{9x}[/tex], what is [tex]f(3)[/tex]?

A. 729
B. 81
C. [tex]\frac{1}{729}[/tex]
D. [tex]\frac{1}{81}[/tex]

Answer :

Answer:

  • B. 81

Step-by-step explanation:

Note. It is assumed * is x in the function notation.

Given

  • Function f(x) = (1/9)(9ˣ)

Rewrite it as:

  • f(x) = 9⁻¹ 9ˣ = 9⁻¹⁺ˣ = 9ˣ⁻¹

Find f(3)

Substitute the value of x into equation:

  • f(3) = 9³⁻¹ = 9² = 81

Correct answer choice is B

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