jika diketahui fungsi f (x) = 3x + 5, g (x) = 2x dan h (x) = x2 +2. tentukan a. (f ○ g) ○h b. f○ (g ○ h) c. g○ ( f ○ h ) d. ( g ○ f ) ○ h
Matematika
dewikaswari31
Pertanyaan
jika diketahui fungsi f (x) = 3x + 5, g (x) = 2x dan h (x) = x2 +2.
tentukan
a. (f ○ g) ○h
b. f○ (g ○ h)
c. g○ ( f ○ h )
d. ( g ○ f ) ○ h
tentukan
a. (f ○ g) ○h
b. f○ (g ○ h)
c. g○ ( f ○ h )
d. ( g ○ f ) ○ h
1 Jawaban
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1. Jawaban jubet106
a.
(f o g) = 3(2x) + 5 = 6x + 5
(foh)oh = 6(x2 + 2) + 5 = 6x2 +12+5 = 6x2+17
b.
goh = 2(x2+2) = 2x2 + 4
fo(goh) = 3(2x2 +4) +5 = 6x2 +12 + 5 = 6x2+17
c.
foh = 3(x2+2) + 5 = 3×2+6+5 = 3×2+11
go(foh) = 2 (3×2+11) = 6×2 +22
d.
gof = 2(3×+5) = 6× +10
(gof)oh = 6(x2+2) +10 = 6×2 +12 +10 = 6×2+22