Dik f(x) = 2x-1 dan g(x) = 3x+5 tentukan: a. (f°g)^-¹ (1) b. (g°f)^-¹ (-2)
Matematika
AsmaAgustin21
Pertanyaan
Dik f(x) = 2x-1 dan g(x) = 3x+5 tentukan:
a. (f°g)^-¹ (1)
b. (g°f)^-¹ (-2)
a. (f°g)^-¹ (1)
b. (g°f)^-¹ (-2)
1 Jawaban
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1. Jawaban fhany18
a. fog(x)= 2x-1 = 2(3x+5)-1 = 6x+10-1....=6x+9
inversnya yakni x-9 di bagi 6
fog(^-1) (1)= 1-9/6. = -8/6. = -4/3
b. gof(x)=3x+5. = 3(2x-1)+5. = 6x-3+5. = 6x+2
inversnya yakni x-2 di bagi 6
gof(^-1)(-2) = -2-2/6. = -4/6. = -2/3
semoga bermanfaat