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If ƒ(x ) = x 2 1 and g(x ) = 3x 1, find 2ƒ(1) 3g(4).

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Final answer:

To find 2ƒ(1) 3g(4), substitute the values of x into the given functions. 2ƒ(1) = 0 and 3g(4) = 33. Therefore, 2ƒ(1) 3g(4) = 99.

Step-by-step explanation:

To find 2ƒ(1) 3g(4), we need to substitute the values of x into the given functions.

First, we find ƒ(1) by substituting x = 1 into ƒ(x) which gives us ƒ(1) = 1² - 1 = 0.

Therefore, 2ƒ(1) = 2(0) = 0.

Next, we find g(4) by substituting x = 4 into g(x) which gives us g(4) = 3(4) - 1 = 12 - 1 = 11.

Therefore, 3g(4) = 3(11) = 33.

Finally, we calculate 2ƒ(1) 3g(4) = 2(0) + 3(33) = 0 + 99 = 99.

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