paulchung paulchung

22-01-2021
Mathematics

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1 5.4.3 Test (CST): Exponents and Exponential Functions
Question 15 of 25
Find f(-4) for f(x) = 9(3)*

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MrRoyal MrRoyal

27-01-2021

Answer:

f(-4) = ⅑

Step-by-step explanation:

Given

f(x) = 9(3)^x

Required.

Find f(-4)

f(x) = 9(3)^x

Substitute -4 for x

f(-4) = 9(3)^(-4)

Apply laws of indices

f(-4) = 9 * 1/(3⁴)

f(-4) = 9 * (⅓)⁴

f(-4) = 9 * 1/81

f(-4) = 9/81

Simplify

f(-4) = ⅑

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