Diketahui f(x)=3x²+4x+1
g(x)=6x
tentukan a. (fog) (x)
b. (gof) (x)
C. (Fog) (1)![]()
g(x)=6x
tentukan a. (fog) (x)
b. (gof) (x)
C. (Fog) (1)
a. (f o g) = 3 (6x)² + 4 (6x) + 1
= 3 (36x²) + 24 x + 1
= 108 x² + 24 x + 1
b. (g o f) = 6 (3x²+4x+1)
= 18x² + 24x + 6
c. (f o g) (1) = 108 (1²) + 24 (1) + 1
= 108 + 24 + 1
= 133
Nilai (f o g)(x)
(f o g)(x) = f(g(x))
= 3(6x)² + 4(6x) + 1
= 3(36x²) + 24x + 1
= 108x² + 24x + 1
[tex] \: [/tex]
Nilai (g o f)(x)
(g o f)(x) = g(f(x))
= 6(3x² + 4x + 1)
= 18x² + 24x + 6
[tex] \: [/tex]
Nilai (f o g)(1)
(f o g)(x) = 108x² + 24x + 1
(f o g)(1) = 108(1)² + 24(1) + 1
= 108 + 24 + 1
= 133
[tex]\red{\boxed{ \green\bigstar ~ \orange{\mathcal{A}thena ~ \mathcal{R}alinsha} ~ \green{ \bigstar}}}[/tex]
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