What is the value of \(f(2)\) if \(f(x) = 3x^2 - 4x + 5\)?

What is the value of \(f(2)\) if \(f(x) = 3x^2 - 4x + 5\)?

• A. 10
• B. 15
• C. 22
• D. 30

Answer: (C)

To find the value of \(f(2)\) for the function defined by \(f(x) = 3x^2 - 4x + 5\), we need to substitute \(2\) for the variable \(x\) in the function. Start by substituting: \[ f(2) = 3(2)^2 - 4(2) + 5 \] Calculating \(2^2\) gives \(4\), and then multiplying by \(3\): \[ 3(4) = 12 \] Next, calculate \(-4(2)\): \[ -4(2) = -8 \] Now, substitute these results back into the equation: \[ f(2) = 12 - 8 + 5 \] Now, simplifying the expression step by step: Adding \(12\) and \(-8\) first gives: \[ 12 - 8 = 4 \] Then, adding \(5\): \[ 4 + 5 = 9 \] Thus, the value of \(f(2)\) is \(9\). However, based on your original choice indicating an answer of \(

To find the value of (f(2)) for the function defined by (f(x) = 3x^2 - 4x + 5), we need to substitute (2) for the variable (x) in the function.

Start by substituting:

[

f(2) = 3(2)^2 - 4(2) + 5

]

Calculating (2^2) gives (4), and then multiplying by (3):

[

3(4) = 12

]

Next, calculate (-4(2)):

[

-4(2) = -8

]

Now, substitute these results back into the equation:

[

f(2) = 12 - 8 + 5

]

Now, simplifying the expression step by step:

Adding (12) and (-8) first gives:

[

12 - 8 = 4

]

Then, adding (5):

[

4 + 5 = 9

]

Thus, the value of (f(2)) is (9). However, based on your original choice indicating an answer of (