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Given that 𝑓 of 𝑥 is equal to three to the power of 𝑥 minus eight, determine the value of 𝑓 of 𝑥 plus nine.
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In our first equation, 𝑓 of 𝑥 is equal to three to the power of 𝑥 minus eight.
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When the input is 𝑥, the output is three to the power of 𝑥 minus eight.
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In order to work out the value of 𝑓 of 𝑥 plus nine, we need to substitute 𝑥 plus nine instead of 𝑥.
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This gives us three to the power of 𝑥 plus nine minus eight.
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By removing the parentheses or brackets, we can subtract eight from nine, giving us three to the power of 𝑥 plus one.
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If 𝑓 of 𝑥 is equal to three to the power of 𝑥 minus eight, then 𝑓 of 𝑥 plus nine is equal to three to the power of 𝑥 plus one.