If f(x) = x 2 + 1 and g(x) = 3x + 1, find 2·f(4).
Question
If f(x) = x 2 + 1 and g(x) = 3x + 1, find 2·f(4).
Solution
To find 2·f(4), we first need to find the value of f(4).
Step 1: Substitute x = 4 into the function f(x) = x^2 + 1.
f(4) = (4)^2 + 1 = 16 + 1 = 17.
Step 2: Multiply the result by 2.
2·f(4) = 2 * 17 = 34.
So, 2·f(4) = 34.
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