A. (f.g)(x)
B.(f/g)(x)
C.(gof)(x)
D.(fog)(x)
E.f⁴(x)+g⁴(x)
Jika f(x)=✓x²-1 dan g(x)=2/x, tentukan
Jawaban Terkonfirmasi
Fungsi Komposisi
f(x) = √(x² -1) dan g(x) = 2/x
a. (f . g)(x) = (√x² -1) ) (2/x) = ( 2√(x² -1)) / x
b. (f/g)(x) = (√(x² -1)) / (2/x) = (x √(x² – 1)) / 2
c. (gof)(x) = g{ f(x)} = g (√x² -1) = 2/ √(x² -1) = (2√(x² -1) ) / (x² – 1)
d. fog(x) = f { g(x)}= f (2/x) = √ ( 2/x)² – 1 = √ (4/x² – 1) = √ 1/ x² (4 – x²)
= 1/x √(4 – x²)
e. f⁴(x) + g⁴(x) = (√x² – 1) ⁴ + (2/x) ⁴ = (x² -1)² + 16/x⁴
Ini ya jawabannya…
