B. Indonesia

Pertanyaan

1.jika f(t)=4t+7,maka
[tex] \frac{f(3 + h) - f(3) }{h} [/tex]
A.-4
B.4
C.0
D.h
E.4h

2.Jika P(X)=X²-5X+1,maka
[tex] \frac{p(2 + h) - p(2)}{h} [/tex]
A.h+1
B.h-1
C.1
D.1-h
E.-h

tolong dibantu yah...kalau bisa sertakan caranya

1 Jawaban


  • [tex]1. \: f(t) = 4t + 7 \\ \frac{f(3 + h) - f(3)}{h} \\ = \frac{4(3 + h) + 7 - (4(3) + 7)}{h} \\ = \frac{12 + 4h + 7 - 12 - 7}{h} \\ = \frac{4h}{h} = 4[/tex]
    [tex]2. \: p(x) = {x}^{2} - 5x + 1 \\ \frac{p(2 + h) - p(2)}{h} \\ = \frac{{((2 + h)}^{2} - 5(2 + h) + 1) - ( {2}^{2} - 5(2) + 1) }{h} \\ = \frac{(4 + 4h + {h}^{2} - 10 - 5h + 1- 4 + 10 - 1 }{h} \\ = \frac{ {h}^{2} - h}{h} = h - 1[/tex]
    jawabannya 1. B dan 2. B
    semoga membantu ya

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