Question

If `f(x) = 2x^2 - 13x^2 + 17x + 12` find f(2)

Answer 1

We have

`f(x)=2x^2 -13x^2+17x+12`

 `f(2)=2 xx(2)^3-13xx(2)^2+17xx(2)+12`

`=(2xx8)-(13xx4)+(17xx2)+12`

`=16-52-34+12=10`

Answer 2

Substitute x = 2 into the function:

f(2) = 2(2)³ − 13(2)² + 17(2) + 12

Calculate each term:

2(2)³ = 2 × 8 = 16

−13(2)² = −13 × 4 = −52

17(2) = 34

The constant term is 12.

Combine the results:

f(2) = 16 − 52 + 34 + 12

Simplify:

f(2) = 16 − 52 = −36

36 + 34 = −2

2 + 12 = 10

Therefore, f(2) = 10.