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MTH 102 MTH 102 Past Questions Objective Question
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Question

Given the function f(u) = 5u² - 7u + 2, find f(f(3)).
Options
A <code>3382</code>
B <code>3200</code>
Correct Answer
C <code>3182</code>
D <code>423</code>
Correct Answer

Option B is the correct answer.

Detailed Explanation

To find f(f(3)), we first evaluate f(3) and then substitute that result back into f(u).
  1. Calculate f(3):Substitute u = 3 into the function f(u) = 5u² - 7u + 2:f(3) = 5(3)² - 7(3) + 2f(3) = 5(9) - 21 + 2f(3) = 45 - 21 + 2f(3) = 24 + 2 = 26
  2. Calculate f(f(3)) = f(26):Substitute u = 26 into the function f(u) = 5u² - 7u + 2:f(26) = 5(26)² - 7(26) + 2f(26) = 5(676) - 182 + 2f(26) = 3380 - 182 + 2f(26) = 3198 + 2 = 3200
The value of f(f(3)) is 3200.

Hint

This is a composite function evaluation. First, evaluate the inner function f(3). Then, use that result as the input for the outer function, i.e., calculate f(result_of_f(3)).

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 441 of 930
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