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

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 (