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  • 19-01-2021
  • Mathematics
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Y=f(x)=(1/9)^x find f(x) when x=(1/2)

Respuesta :

nicolerein
nicolerein nicolerein
  • 19-01-2021

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

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

Solve:

[tex]\frac{1}{9}^\frac{1}{2}[/tex]

Distribute the exponent to the numerator and denominator.

[tex]\frac{1^\frac{1}{2}}{9^\frac{1}{2}}[/tex]

Simplify.

[tex]\\\\\frac{1^\frac{1}{2}}{9^\frac{1}{2}}\\\\9^\frac{1}{2}=3\\\\\frac{1^\frac{1}{2}}{3}}\\\\[/tex]

Use the [tex]1^a = 1\,\text{}[/tex] rule for the numerator:

[tex]\frac{1}{3}[/tex]

Your final answer would be [tex]\frac{1}{3}[/tex]

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