The text you provided contains two separate questions. Here are the answers for each:

1. If 𝜙(𝑥) = 𝑥^2 and 𝜓(𝑥) = 2𝑥, then 𝜓(𝜙(𝑥)) is calculated by substituting 𝜙(𝑥) into 𝜓(𝑥). So, 𝜓(𝜙(𝑥)) = 2𝜙(𝑥) = 2𝑥^2. Therefore, the answer is (A) 2𝑥^2.

2. The number of three-letter words that can be formed using the letters of the word 'VIRUS' without repetition is calculated by permutation. The formula for permutation is nPr = n! / (n-r)!. Here, n is the total number of letters in 'VIRUS' which is 5, and r is the number of letters we want to choose which is 3. So, 5P3 = 5! / (5-3)! = 5*4*3 = 60. Therefore, the answer is (C) 60.

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The text you provided contains two separate questions. Here are the answers for each:

1. If 𝜙(𝑥) = 𝑥^2 and 𝜓(𝑥) = 2𝑥, then 𝜓(𝜙(𝑥)) is calculated by substituting 𝜙(𝑥) into 𝜓(𝑥). So, 𝜓(𝜙(𝑥)) = 2𝜙(𝑥) = 2𝑥^2. Therefore, the answer is (A) 2𝑥^2.

2. The number of three-letter words that can be formed using the letters of the word 'VIRUS' without repetition is calculated by permutation. The formula for permutation is nPr = n! / (n-r)!. Here, n is the total number of letters in 'VIRUS' which is 5, and r is the number of letters we want to choose which is 3. So, 5P3 = 5! / (5-3)! = 5*4*3 = 60. Therefore, the answer is (C) 60.

Knowee AI · Accepted Answer

The text you provided contains two separate questions. Here are the answers for each:

1. If 𝜙(𝑥) = 𝑥^2 and 𝜓(𝑥) = 2𝑥, then 𝜓(𝜙(𝑥)) is calculated by substituting 𝜙(𝑥) into 𝜓(𝑥). So, 𝜓(𝜙(𝑥)) = 2𝜙(𝑥) = 2𝑥^2. Therefore, the answer is (A) 2𝑥^2.

2. The number of three-letter words that can be formed using the letters of the word 'VIRUS' without repetition is calculated by permutation. The formula for permutation is nPr = n! / (n-r)!. Here, n is the total number of letters in 'VIRUS' which is 5, and r is the number of letters we want to choose which is 3. So, 5P3 = 5! / (5-3)! = 5*4*3 = 60. Therefore, the answer is (C) 60.

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