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If \(f(x)=2x^2-3x+1\), find \(f(3)\).- a)\(10\)
- b)\(16\)
- c)\(22\)
- d)\(28\)
Correct answer is option 'A'. Can you explain this answer?
If \(f(x)=2x^2-3x+1\), find \(f(3)\).
a)
\(10\)
b)
\(16\)
c)
\(22\)
d)
\(28\)
 | Dipika Sarkar answered |
Understanding the Function
The function given is f(x) = 2x^2 - 3x + 1. To find f(3), we will substitute x with 3 in this expression.
Substituting the Value
We need to calculate:
- f(3) = 2(3)^2 - 3(3) + 1
Calculating Step by Step
1. Calculate (3)^2:
- (3)^2 = 9
2. Multiply by 2:
- 2 * 9 = 18
3. Calculate -3(3):
- -3 * 3 = -9
4. Adding the Constant:
- Now we can summarize: f(3) = 18 - 9 + 1
Final Calculation
- Combine the values:
- 18 - 9 = 9
- 9 + 1 = 10
Therefore, f(3) = 10.
Conclusion
The value of f(3) is 10, which corresponds to option 'A'.
The function given is f(x) = 2x^2 - 3x + 1. To find f(3), we will substitute x with 3 in this expression.
Substituting the Value
We need to calculate:
- f(3) = 2(3)^2 - 3(3) + 1
Calculating Step by Step
1. Calculate (3)^2:
- (3)^2 = 9
2. Multiply by 2:
- 2 * 9 = 18
3. Calculate -3(3):
- -3 * 3 = -9
4. Adding the Constant:
- Now we can summarize: f(3) = 18 - 9 + 1
Final Calculation
- Combine the values:
- 18 - 9 = 9
- 9 + 1 = 10
Therefore, f(3) = 10.
Conclusion
The value of f(3) is 10, which corresponds to option 'A'.
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