Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.

asked Sep 22, 2022 103k views

16 votes

by Wfr

4.1k points

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9 votes

Answer:

h(x) = 2 × 3ˣ - 3²ˣ

Explanation:

Given:

f(x) = 3^x

g(x) = 3^(2x) - 3^x

h(x) = f(x) - g(x)

Then:

$h(x) = 3^x - (3^(2x) - 3^x)\\h(x) = 3^x - 3^(2x) + 3^x\\h(x) = 2 * 3^x - 3^(2x)$

Sam Walpole answered Sep 26, 2022

3.0k points

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