Nilai [tex] f(-4) = -5 \: \: . \\ [/tex]
Diketahui :
[tex] f(x-5) = 2x-7 \\ [/tex]
Ditanya :
Nilai [tex] f(-4) \: \: . \\ [/tex]
Jawab :
Cara 1 :
[tex] \begin{aligned} f(x-5) & \: = 2x-7 \\ \\ f(x-5) \: & = 2x-10+3 \\ \\ f(x-5) \: & = 2(x-5)+3 \\ \\ f(x) \: & = 2x+3 \\ \\ f(-4) \: & = 2\cdot (-4) + 3 \\ \\ f(-1) \: & = -8+3 \\ \\ f(-4) \: & = 3-8 \\ \\ f(-4) \: & = -5 \\ \\ \end{aligned} [/tex]
Cara 2 :
Substitusi [tex] x = 1 [/tex] , diperoleh :
[tex] \begin{aligned} f(x-5) & \: = 2x-7 \\ \\ f(1-5) \: & = 2\cdot 1 - 7 \\ \\ f(-4) \: & = 2-7 \\ \\ f(-4) \: & = -5 \\ \\ \end{aligned} [/tex]
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Nilai [tex] f(-4) = -5 \: \: . \\ [/tex]
Pembahasan
Diketahui :
[tex] f(x-5) = 2x-7 \\ [/tex]
Ditanya :
Nilai [tex] f(-4) \: \: . \\ [/tex]
Jawab :
Cara 1 :
[tex] \begin{aligned} f(x-5) & \: = 2x-7 \\ \\ f(x-5) \: & = 2x-10+3 \\ \\ f(x-5) \: & = 2(x-5)+3 \\ \\ f(x) \: & = 2x+3 \\ \\ f(-4) \: & = 2\cdot (-4) + 3 \\ \\ f(-1) \: & = -8+3 \\ \\ f(-4) \: & = 3-8 \\ \\ f(-4) \: & = -5 \\ \\ \end{aligned} [/tex]
Cara 2 :
Substitusi [tex] x = 1 [/tex] , diperoleh :
[tex] \begin{aligned} f(x-5) & \: = 2x-7 \\ \\ f(1-5) \: & = 2\cdot 1 - 7 \\ \\ f(-4) \: & = 2-7 \\ \\ f(-4) \: & = -5 \\ \\ \end{aligned} [/tex]
Kesimpulan :
Nilai [tex] f(-4) = -5 \: \: . \\ [/tex]