Jika f(x)=x−3x−1​, g(x)=x2−3x+1, dan h(x)=2x−3, maka nilai (h∘g∘f)(4)=....

Pertanyaan

Jika begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator x minus 1 over denominator x minus 3 end fraction comma space g left parenthesis x right parenthesis equals x squared minus 3 x plus 1 comma space dan space h left parenthesis x right parenthesis equals 2 x minus 3 end style, maka nilai open parentheses h ring operator g ring operator f close parentheses left parenthesis 4 right parenthesis equals.... 

  1. begin mathsize 14px style negative 5 over 4 end style 

  2. size 14px minus size 14px 1 

  3. undefined 

  4. size 14px 1 

  5. begin mathsize 14px style 5 over 4 end style 

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Pembahasan

begin mathsize 14px style left parenthesis h degree g degree f right parenthesis left parenthesis 4 right parenthesis space space space space space space equals h left parenthesis g left parenthesis f left parenthesis 4 right parenthesis right parenthesis right parenthesis end style

begin mathsize 14px style f left parenthesis 4 right parenthesis space space space space space space space space space space space space space space space space space equals fraction numerator 4 minus 1 over denominator 4 minus 3 end fraction equals 3 end style

begin mathsize 14px style g left parenthesis f left parenthesis 4 right parenthesis right parenthesis equals g left parenthesis 3 right parenthesis space equals 3 squared minus 3 left parenthesis 3 right parenthesis plus 1 equals 1 end style

begin mathsize 14px style left parenthesis h ring operator g ring operator f right parenthesis left parenthesis 4 right parenthesis equals h left parenthesis g left parenthesis f left parenthesis x right parenthesis right parenthesis right parenthesis equals h left parenthesis 1 right parenthesis equals 2 left parenthesis 1 right parenthesis minus 3 equals negative 1 end style

Jadi pilihan yang tepat adalah B

26

5.0 (1 rating)

Pertanyaan serupa

Diketahui T(x)=2x3​ untuk x=0. Nilai dari (T∘T∘T)(x) adalah ....

99

4.6

Jawaban terverifikasi

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