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Find โ„Ž(3) + ๐‘Ž(2) if โ„Ž(๐‘ฅ) = ๐‘ฅ โˆ’ 1 and ๐‘Ž(๐‘ฅ) = 7๐‘ฅ + 3

Question

Find โ„Ž(3) + ๐‘Ž(2) if โ„Ž(๐‘ฅ) = ๐‘ฅ โˆ’ 1 and ๐‘Ž(๐‘ฅ) = 7๐‘ฅ + 3

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Solution

To find โ„Ž(3) + ๐‘Ž(2), we first need to substitute the values of 3 and 2 into the functions โ„Ž(๐‘ฅ) and ๐‘Ž(๐‘ฅ) respectively.

Step 1: Substitute x = 3 into โ„Ž(๐‘ฅ) = ๐‘ฅ โˆ’ 1 โ„Ž(3) = 3 - 1 = 2

Step 2: Substitute x = 2 into ๐‘Ž(๐‘ฅ) = 7๐‘ฅ + 3 ๐‘Ž(2) = 7*2 + 3 = 14 + 3 = 17

Step 3: Add the results of โ„Ž(3) and ๐‘Ž(2) โ„Ž(3) + ๐‘Ž(2) = 2 + 17 = 19

So, โ„Ž(3) + ๐‘Ž(2) = 19.

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