Suatu fungsi ditentukan oleh f:x→x² + 1 dengan daerah asa; {1,2,3,...,9} a.tentukan rumus fungsi. b.tentukan f(11),f(12),f(13),dan range fungsi c.tentukan x bila f(x)=17 d.Tentukan f(5) - f(1),f(20) - f(15) ,dan f(8) - f(4)
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lailinabilah
A. x² + 1 b. f (11) = 11² + 1=122 f (12) = 12² + 1=145 f (13) = 13² + 1=170 R={122,145,170} c. f (x)=17 f (x)=x² + 1=17 x² =17-1 x² =16 x = √16 =4 d. f (5) = 5² + 1=26 f (1) = 1² + 1=2 f (20) = 20² + 1=401 f (15) = 15² + 1=226 f (8) = 8² + 1=65 f (4) = 4² + 1=17 Jadi, f(5)-f(1) = 26 - 2 = 24 f(20)-f(15) = 401 - 226 = 175 f(8)-f(4) = 65 - 17 = 48
b. f (11) = 11² + 1=122
f (12) = 12² + 1=145
f (13) = 13² + 1=170
R={122,145,170}
c. f (x)=17
f (x)=x² + 1=17
x² =17-1
x² =16
x = √16
=4
d. f (5) = 5² + 1=26
f (1) = 1² + 1=2
f (20) = 20² + 1=401
f (15) = 15² + 1=226
f (8) = 8² + 1=65
f (4) = 4² + 1=17
Jadi,
f(5)-f(1) = 26 - 2 = 24
f(20)-f(15) = 401 - 226 = 175
f(8)-f(4) = 65 - 17 = 48
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