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MTH 102 MTH 102 Past Questions Objective Question

Question

Given the function f(u – 2) = 3u² – u + 1, find f(5).
Options
A <code>141</code>
Correct Answer
B <code>139</code>
C <code>71</code>
D <code>70</code>
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).
  1. First, determine the value of u such that u - 2 = 5:u - 2 = 5u = 7
  2. Now substitute u = 7 into the expression for f(u - 2) to find f(5):f(5) = 3(7)² - (7) + 1f(5) = 3(49) - 7 + 1f(5) = 147 - 7 + 1f(5) = 140 + 1 = 141
Thus, 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.

Question Info