Answer :
To find the value of the function
[tex]$$
f(x) = 3x^2 - 4x + 2
$$[/tex]
at [tex]$x = -2$[/tex], we follow these steps:
1. Substitute [tex]$x = -2$[/tex] into the function:
[tex]$$
f(-2) = 3(-2)^2 - 4(-2) + 2.
$$[/tex]
2. Calculate [tex]$(-2)^2$[/tex]:
[tex]$$
(-2)^2 = 4.
$$[/tex]
3. Multiply [tex]$3$[/tex] by [tex]$4$[/tex] (the result from step 2):
[tex]$$
3 \times 4 = 12.
$$[/tex]
4. Multiply [tex]$-4$[/tex] by [tex]$-2$[/tex]:
[tex]$$
-4 \times (-2) = 8.
$$[/tex]
5. Add the constant term [tex]$2$[/tex]:
[tex]$$
12 + 8 + 2.
$$[/tex]
6. Combine the sums:
[tex]$$
12 + 8 + 2 = 22.
$$[/tex]
Thus, the final answer is
[tex]$$
f(-2) = 22.
$$[/tex]
[tex]$$
f(x) = 3x^2 - 4x + 2
$$[/tex]
at [tex]$x = -2$[/tex], we follow these steps:
1. Substitute [tex]$x = -2$[/tex] into the function:
[tex]$$
f(-2) = 3(-2)^2 - 4(-2) + 2.
$$[/tex]
2. Calculate [tex]$(-2)^2$[/tex]:
[tex]$$
(-2)^2 = 4.
$$[/tex]
3. Multiply [tex]$3$[/tex] by [tex]$4$[/tex] (the result from step 2):
[tex]$$
3 \times 4 = 12.
$$[/tex]
4. Multiply [tex]$-4$[/tex] by [tex]$-2$[/tex]:
[tex]$$
-4 \times (-2) = 8.
$$[/tex]
5. Add the constant term [tex]$2$[/tex]:
[tex]$$
12 + 8 + 2.
$$[/tex]
6. Combine the sums:
[tex]$$
12 + 8 + 2 = 22.
$$[/tex]
Thus, the final answer is
[tex]$$
f(-2) = 22.
$$[/tex]