Question:

If $ f(x) = 3x^2 + 5x - 7 $, find $ f(2) $.

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Remember: To evaluate a function at a specific point, substitute the value of \( x \) into the function and simplify.
Updated On: Apr 22, 2025
  • \( 9 \)
  • \( 15 \)
  • \( 7 \)
  • \( 5 \)
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The Correct Option is A

Solution and Explanation

Step 1: Substitute \( x = 2 \) into the function
We are given the function \( f(x) = 3x^2 + 5x - 7 \). We need to find \( f(2) \). Substitute \( x = 2 \) into the function: \[ f(2) = 3(2)^2 + 5(2) - 7 \]
Step 2: Simplify the expression
\[ f(2) = 3(4) + 5(2) - 7 \] \[ f(2) = 12 + 10 - 7 \] \[ f(2) = 15 \]
Answer:
Therefore, \( f(2) = 15 \). So, the correct answer is option (2).
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