CharlesNicholson CharlesNicholson

10-02-2021
Mathematics

contestada

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

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jacobEwing jacobEwing

10-02-2021

Answer:

h(x) = 2 × 3ˣ - 3²ˣ

Step-by-step explanation:

Given:

[tex]f(x) = 3^x[/tex]

[tex]g(x) = 3^{2x} - 3^x[/tex]

[tex]h(x) = f(x) - g(x)[/tex]

Then:

[tex]h(x) = 3^x - (3^{2x} - 3^x)\\h(x) = 3^x - 3^{2x} + 3^x\\h(x) = 2 \times 3^x - 3^{2x}[/tex]

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