Question

Y=f(x)=(1/9)^x find f(x) when x=(1/2)

Answer 1

Answer:

$\frac{1}{3}$

Step-by-step explanation:

In this question, you would solve the for f(x) by plugging in the given value to x.

Solve:

$\frac{1}{9}^\frac{1}{2}$

Distribute the exponent to the numerator and denominator.

$\frac{1^\frac{1}{2}}{9^\frac{1}{2}}$

Simplify.

$\\\\\frac{1^\frac{1}{2}}{9^\frac{1}{2}}\\\\9^\frac{1}{2}=3\\\\\frac{1^\frac{1}{2}}{3}}$

Use the $1^a = 1\,\text{}$ rule for the numerator:

$\frac{1}{3}$

Your final answer would be $\frac{1}{3}$