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