Question Detail
Question
Given the function
f(u – 2) = 3u² – u + 1, find f(5).
Correct Answer
Option A is the correct answer.
Detailed Explanation
We are given
f(u - 2) = 3u² - u + 1 and need to find f(5).- First, determine the value of
usuch thatu - 2 = 5:u - 2 = 5u = 7 - Now substitute
u = 7into the expression forf(u - 2)to findf(5):f(5) = 3(7)² - (7) + 1f(5) = 3(49) - 7 + 1f(5) = 147 - 7 + 1f(5) = 140 + 1 = 141
f(5) = 141.
Hint
To find
f(5), you need to determine what value of u makes the argument u-2 equal to 5. Once you find that u, substitute it into the given expression for the function.