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F(x) =x² -2x-17 tentukan f (5)-f(2)

F(x) =x² -2x-17 tentukan f (5)-f(2)

Jawaban : 15

Ingat!
Jika f(x) = ax + b, dan x = p, maka:
f(p) = ap + b .

Pembahasan,

Diketahui:
f(x) = x² – 2x – 17

Ditanya,
f(5) – f(2) = …

• untuk f(5) –> x = 5, sehingga:
f(5) = 5² – 2(5) – 17
f(5) = 25 – 10 – 17
f(5) = -2

• untuk f(2) –> x = 2, sehingga:
f(2) = 2² – 2(2) – 17
f(2) = 4 – 4 – 17
f(2) = -17

Jadi,
= f(5) – f(2)
= -2 – (-17)
= -2 + 17
= 15

Sehingga, jawaban yang tepat adalah 15.

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